A balloon is rising with a velocity of 4.9 m/sec releases an object from height of 96 m. a) How long after its release will the object reach the ground?

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  1. Science ( physics )

    A balloon is rising with a velocity of 4.9 m/sec releases an object from height of 96 m. a) How long after its release will the object reach the ground? b) what is the velocity of the object as it hits the ground? The object has in intial vertical velocity, at an initial ...
  2. Physics

    A hot air balloon is rising at a constant velocity of 13.3 m/s. When the balloon is at a height of 15 m, a heavy object is dropped overboard. IF air resistance on the object is neglected, how long does it take for it to reach the ground?
  3. Physics

    A hot-air balloon is rising vertically at a speed of 10 m s–1. An object is released from the balloon. The graph shows how the velocity of the object varies with time from when it leaves the balloon to when it reaches the ground four seconds later. It is assumed that the air...
  4. -MATH-

    h=-16t2+80t+96 Use this position polynomial to calculate the following: 1.The height of the object after 2 seconds 2.The height of the object after 4 seconds 3.How long the object will take to reach the ground? 4.Write the position function for an object that is thrown upward ...
  5. Math

    An object is dropped from a balloon from a height of 500m. (a) How long does it take to reach the ground? (b) If the object has an initial velocity of 12m/s, how long does it take to reach the ground? How far will it fall in 5 secnds?
  6. Physics

    A hotair balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sadndbag at the instant the balloon is 40.0 m above the ground. after it is released, the sandbag encounters no appreciable air drag. a. compute the position and velocity of the sandbag at ....
  7. Physics

    A hotair balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sadndbag at the instant the balloon is 40.0 m above the ground. after it is released, the sandbag encounters no appreciable air drag. a. compute the position and velocity of the sandbag at ....
  8. Physics

    A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases a sandbag at an instant when the balloon is a height h = 40.0 m above the ground. After it is released, the sandbag is in free fall. For the questions that follow, take the ...
  9. Physics 1

    A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases a sandbag at an instant when the balloon is a height h = 40.0 m above the ground. After it is released, the sandbag is in free fall. For the questions that follow, take the ...
  10. physics

    FROM A VERTICALLY RISING BALLOON AT A HEIGHT OF 450m an object is released, the object takes 10 seconds to reach the ground.calculate the velocityat the instance the object is released
  11. Calculus

    Suppose you throw an object from a great height, so that it reaches very nearly terminal velocity by time it hits the ground. By measuring the impact, you determine that this terminal velocity is -49 m/sec. A. Write the equation representing the velocity v(t) of the object at ...
  12. MATH

    The height h in feet of an object after t seconds is given by the function h=-16t^2+60t+9.... How long will it take the object to hit the ground? Round your answer to the nearest thousandth.... when it hits the ground, h is zero. So you have a quadratic equation. Use the ...
  13. calculus - INTEGRATION

    A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant it is 64 feet above the ground. a. How many seconds after its release will the bag strike the ground? b. At what velocity will it hit the ground?
  14. cal

    let s(t)= -16t^2 + 50 represent the distance in ft. from the ground of an object t seconds after initial velocity of the object? initial means t=0 1. what is the initial velocity of the object? 2. what is the velocity of the object 1 sec after it was released? 3. when does the...
  15. Math

    The acceleration of an object g = -9.8 m/s^2. From the top of a building of 245 m., an object is thrown upwards at an initial velocity of 12m/s (a) What is the function for the velocity of the object? I put vf^2 = Vi^2 + 2a(yf-yi) vf^2 = 216.09 + 19.6 (yf - 245) (b) Determine ...
  16. Algebra

    If an object is thrown upward with an initial velocity of 96 feet/sec, it's height after t sec is given by h=96t-16t^2. Find the number of seconds before the object hits the ground.
  17. science

    2.2. A hot air balloonist, rising vertically with a constant velocity of magnitude 5.00m/s releases a sandbag at an instant when the balloon is 40.0m above the ground as shown. After it is released, the sandbag is in free fall. 1. calculate the position and velocity of the ...
  18. physics

    An object is being thrown upward at 50m How long does it take the object to reach maximum height? What is the maximum height of the object? How much time does it take for the audit to return to its original position? What is the velocity of the object when it hits the ground? ...
  19. math

    An object is thrown or fired straight upwards at an initial speed of v_0 ft⁄s will reach height h feet after t seconds, where h and t are related to the formula h=-16t^2-v_0 t Suppose the object is fired straight upwards with an initial speed of 800ft⁄s, What is ...
  20. math

    An object is thrown or fired straight upwards at an initial speed of v_0 ft⁄s will reach height h feet after t seconds, where h and t are related to the formula h=-16t^2+v_0 t Suppose the object is fired straight upwards with an initial speed of 800ft⁄s, What is ...
  21. math

    An object of mass 100g is thrown vertically upward from a point 60cm above the earths surface with an initial velocity of 150cm/sec. It rises briefly and then falls vertically to the earth, all of which time it is acted on by air resistance that is numerically equal to 200v (...
  22. algebra 2

    An object is launched at 19.6 meters per second from a 58.8 meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = -4.9t2+ 19.6t + 58.8, where s is in meters. a. When does the object strike the ground? b. What was its maximum ...
  23. Algebra II

    If an object is propelled upward from a height of 16 ft at an initial velocity of 80 feet per sec, the its height after t seconds is given by the equation h=-16t²+80t+16, where h is in feet. after how many seconds will the object reach a height of 116 ft?
  24. application of differential equation

    An object of mass 100g is thrown vertically upward from a point 60cm above the earths surface with an initial velocity of 150cm/sec. It rises briefly and then falls vertically to the earth, all of which time it is acted on by air resistance that is numerically equal to 200v (...
  25. physics

    a hot-air balloon having initial velocity vi as it ascends. Then, a water balloon is dropped from the basket when it is 135 meters high and would hit the ground after 9.00 seconds. a) find the velocity of the hot-air balloon upon release of the water balloon. The person in the...
  26. Algebra

    If an object is thrown downward with an initial velocity of v0​, then the distance it travels is given by s=4.9t sqrt 2 +v v0t. An object is thrown downward from an airplane 100 m from the​ ground, with an initial velocity of 6 ​m/sec. How long does it take ...
  27. Algebra

    Help Please, ty A ball is launched at 20 meters per second (m/s) from a 60 meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 20t + 60, where s is in meters.  What is the height above the ground when the object ...
  28. physical science

    A hot air balloon is rising upwards at a constant velocity of 5 m/s . When the balloon is 60 m above the ground , a sand bag is released from it and allowed to free fall . Ignore the effect of air resistance and assume that the balloon continues to move with the same constant ...
  29. Physical Science

    A 15 Kg object that is free falling has a total mechanical energy of 13,230 Joules. (A) From what height was the object dropped? (B) What is the velocity of the object when it hits the ground? (C) How long does the object fall?
  30. Physics

    **I JUST NEED THE STEPS ON HOW TO SOLVE THE PROBLEMS** An object experiences an acceleration of 6.8m/s^2. As a result, it accelerates from rest to 24m/s. How much distance did it travel during that acceleration? A car which is traveling at a velocity of 15m/s undergoes an ...
  31. Calculus the derivative

    Can you please check my answers and help me fix the one I don't or or did wron . The height in feet of a free falling object t seconds after release is s(t)=-16t^2+ v_0t+s_0, where s_0 is the height(in feet) at which the object is realsed, and v_0 is the initial velocity (in ...
  32. application of differential equation

    somebody please help me find the solution totally lost.... An object of mass 100g is thrown vertically upward from a point 60cm above the earths surface with an initial velocity of 150cm/sec. It rises briefly and then falls vertically to the earth, all of which time it is ...
  33. math

    An object is dropped from a balloon 3600 feet above the ground. Find the time it takes to reach the ground if the height of the object is given by the equation h(t) = –16t^2 + 3600
  34. Calculus the derivative

    The height in feet of a free falling object t seconds after release is s(t)=-16t^2+ v_0t+s_0, where s_0 is the height(in feet) at which the object is realsed, and v_0 is the initial velocity (in feet per second). Suppose the coin is dropped from a height of 1454 feet. D. At ...
  35. Math

    An object is dropped from a hot-air balloon 1296 feet above the ground. The height of the object is given by h=-16(t-9)(t+9) where the height h is measured in feet, and the time t is measured in seconds. After how many seconds will the object hit the ground?
  36. physics

    a hot air balloonist, rising vertically with a constant velocity of magnitude 5m/s releases a sandbag at an instant when the balloon is 40m above the ground. after it is released, the sandbag is in free fall. a) compute position at .250s b.)how many seconds after its release, ...
  37. Math

    An object is launched upward from the ground with an initial vertical velocity of 40 feet per second. After how many seconds does the object reach a height of 25 feet?
  38. physics

    The height of a helicopter above the ground is given by h = 3.40t^3 , where h is in meters and t is in seconds. After 2.05 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
  39. physics

    The height of a helicopter above the ground is given by h = 2.90t3, where h is in meters and t is in seconds. After 2.35 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
  40. Physics

    One object is thrown straight up at 54.9 m/s from the ground at the base of a building with is 157.9 meters tall. At the same time the object is thrown up at the bottom of the building, another object is thrown straight down at the top of the building. If both objects are to ...
  41. physics

    An object is dropped from a bridge.A second object is thrown downwards 2.00s later.They both reach the water 35.0m below at the same instant.What is the initial speed of the second object? I will be very grateful if someone could help me out Heres what I have so far d=1/2(at^2...
  42. physics

    During liftoff, a hot-air balloon accelerates upward at a rate of 2.5 . The balloonist drops an object over the side of the gondola when the speed is 12 . a)What is the magnitude of the object’s acceleration after it is released (relative to the ground)? Part B What is the ...
  43. Physics

    An object with mass 8.5kg is moving vertically upward with a velocity if 35m/s at a height of 100m above the ground. Find the time the object takes to reach the ground Thanks!!
  44. algebra 2

    So the dead line for my class is coming up. And I really need help for these questions! 2. Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the ...
  45. College Math

    An object is projected vertically upward with an initial velocity of v0 ft/sec, and its distance s(t) in feet above the ground after t seconds is given by the formula s(t) = −16t^2 + v0t. (a) If the object hits the ground after 8 seconds, find its initial velocity v0. v0...
  46. phyiscs

    The height of a helicopter above the ground is given by h = 2.90t3, where h is in meters and t is in seconds. At t = 1.75 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
  47. physics

    The height of a helicopter above the ground is given by h = 2.55t3, where h is in meters and t is in seconds. At t = 1.60 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
  48. physics

    The height of a helicopter above the ground is given by h = 2.55t3, where h is in meters and t is in seconds. At t = 1.60 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
  49. physics

    The height of a helicopter above the ground is given by h = 2.55t3, where h is in meters and t is in seconds. At t = 1.60 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
  50. Physics

    1 A hot-air balloon is rising upwards at a constant velocity of 5m.s When the balloon is 100m above the ground, a sandbag is dropped from it. 1.1 what is the velocity of the sandbag when its displacement is zero. 1.2 Determine the maximum height X, above the ground reached by ...
  51. Algebra 2

    If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h=-16t^2+vt+s(where h and s are in ft, t is in seconds and v is in ft/sec) A package is thrown downward with an initial velocity of -...
  52. Algebra 2

    An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the formula d = –16t2 + 1,000. Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet...
  53. math

    the height, in feet, of a free-falling object t seconds after being dropped from an initial height s can be found using h=-16t^2+s. An object is dropped from a helicopter 784 feet above the ground. How long will it take the object to land on the ground? how do you know where ...
  54. math

    The height, in feet, of a free-falling object t seconds after being dropped from an initial height s can be found using the function h = -16t2 + s. An object is dropped from a helicopter 784 feet above the ground. How long will it take the object to land on the ground?
  55. math

    The height, in feet, of a free]falling object t seconds after being dropped from an initial height s can be found using the function h = ]16t2 + s. An object is dropped from a helicopter 784 feet above the ground. How long will it take the object to land on the ground?
  56. College Algebra

    The height of an object launched from the ground after t seconds is given by h(t)=-16t^2+32t. How long for the object to obtain a height of 32ft. Hit the ground.
  57. physics

    An object is thrown straight down off of a cliff with a velocity of 18m/s. a) What is the object's velocity after 15s? b) If the cliff is 358m high, how long does it take for the object to hit the ground?
  58. Physics

    An object is thrown upwards from a height of 50.0m at an initial speed of 19.6m/s. Determine how long will it take for the object to reach the ground.
  59. College Algebra

    Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in seconds), as the model ...
  60. Math

    An object is thrown upward from the top of a 160-foot building with an initial velocity of 144 feet per second. The height, h, of the object after t seconds is given by the equation h=-16t^2+144t+160. When will the object hit the ground? The object will hit the ground when the...
  61. Physics

    A stone is dropped from a hot air balloon that is rising at a constant speed of 2.2 m/s. If the stone takes 4.8 seconds to reach the ground then … a) What was the height of the balloon at the moment the stone was released? b) What is the height of the balloon at the time the...
  62. physics

    hello, I need some help with this work problem that goes... If the height of a helicopter above the ground is given by h=3.25t^3, where h is in meters and t is in sec. After 1.50s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ...
  63. Math

    An object is thrown from the top of an 80 foot building with an initial velocity of 64 feet per second. The height (h) of the object after (t) seconds is given by the quadratic equation h=-16t+64t+80 .When will the object hit the ground?
  64. math

    an object is thrown upward from the top of a 80-foot building with a initial velocity of 65 feet per second. The height h of the object after t seconds is given by the equation h=-16t2+64t+80. when will the object hit the ground
  65. Math

    Suppose an object is dropped from a height h0 above the ground. Then its height after t seconds is given by h = −16t 2 + h0, where h is measured in feet. Use this information to solve the problem. A ball is dropped from the top of a building 59 ft tall. (Round your ...
  66. calculus 2

    An object falls off a 400-foot tower. With g=32ft/sec^2, as at the Earth’s surface, the object would hit the ground after 5 seconds. What would the acceleration due to gravity have to be to make it reach the ground in half the time?
  67. physics

    A balloonist, riding in the basket of a hot air balloon that is rising vertically with a constant velocity of 10.1 m/s, releases a sandbag when the balloon is 43.4 m above the ground. Neglecting air resistance, what is the bag's speed when it hits the ground? Assume g = 9.80 m...
  68. Physics

    A balloonist, riding in the basket of a hot air balloon that is rising vertically with a constant velocity of 9.5 m/s, releases a sandbag when the balloon is 44.3 m above the ground. Neglecting air resistance, what is the bag's speed when it hits the ground? Assume g = 9.80 m/s2.
  69. Applied Physics

    An object is dropped from a height of 49 meters. The object takes 3.2s to hit the ground. The final velocity of the object when it hits the ground is -31 m/s
  70. algebra

    A ball is thrown upward from a height of 240 feet. the height h of the object(in feet) t seconds after the ball is released is given by h=-16t^2+32t+240 a. how long does it take the ball to reach its maximum height? b. what is the maximum height attained by the ball? c. how ...
  71. physics

    An object is dropped from a height of 49 meters. The object takes 3.2s to hit the ground. The final velocity of the object when it hits the ground is 31 m/s
  72. physics

    Question: Object A is moving at a maximum speed of 6m/s towards Object B. At 50 m away Object B accelerates from the approaching Object A at 0.3m/s^2. Does Object A catch up to Object B and if yes when? I don't know how to answer this at all or even which kinematic equation to...
  73. Physics

    A monkey is hanging from a branch located exactly 24 meters along the ground from the hunter. The monkey is 14 meters above the ground. The hunter aims directly at the monkey and fires a water balloon at the monkey just as the monkey releases his grip. The balloon has an ...
  74. Calculus

    Suppose the height of an object fired straight up from the level ground is given by s(t)=300t-4.9t where s is measured in meters and t is measured in seconds. how fast is the object moving up as it leaves the ground after 2 seconds? find the average velocity on the interval [1...
  75. Physics

    A small bag of sand is released from an ascending hot-air balloon whose upward constant velocity is v0 = 1.45 m/s. Knowing that at the time of the release the balloon was 70.3 m above the ground, determine the time, τ, it takes the bag to reach the ground from the moment ...
  76. physics

    A small bag of sand is released from an ascending hot-air balloon whose upward constant velocity is v0 = 1.35 m/s. Knowing that at the time of the release the balloon was 81.8 m above the ground, determine the time, τ, it takes the bag to reach the ground from the moment ...
  77. math

    an object is launched from ground level with an initial velocity of 400 feet per second. To the nearest tenth off a second, how long does it take the object to reach a height off 650 feet?
  78. math

    If an object is fired upward from the top of a tower at a velocity of 80 feet per second, the tower is 200 ft high, the formula is h(t)=-16t^2+80t+200, t is time h is height, how long after it is fired does the object reach the max height? It is like a quadratic equation
  79. Algebra

    An object is launched upward from the ground with an initial vertical velocity of 40 feet per second. After how many seconds does the object reach a height of 25 feet? I need to use the vertical motion model. Here is my work so far. h = -17t^2 + 40t + 25
  80. Physics

    An object is thrown upwards at an initial speed of 19.6 m/s from a height of 65m. Determine how long will take for the object to reach the ground (time of flight). what formula should i use?
  81. Physics

    An object ob 2 kg mass is initially at rest on the ground. then, the object is pulled up by a 20N force in 4s before it is finally released. the maximum height that the one object can reach is ...
  82. Math 160

    The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a. A ball ...
  83. Math

    The formula h=48t-16t^2 gives the height, h, in feet, of an object projected into the air after t seconds. If an object is propelled upward, at what time(s) will it reach a height of 32 feet above the ground?
  84. math

    The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = -16t2 + 96t, where t is the time in seconds. How long will it take the object to reach a height of 144 feet?
  85. physics

    During liftoff, a hot-air balloon accelerates upward at a rate of 3.3m/s^2. The balloonist drops an object over the side of the gondola when the speed is 15m/s. Part A: What is the magnitude of the object’s acceleration after it is released (relative to the ground)? Part B: ...
  86. Physics

    An object is thrown upwards at an initial speed of 19.6m/s from a height of 55m. How long will it take for the object to reach the ground.(from the time it was thrown)
  87. college algebra

    The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = -16t2 + 96t, where t is the time in seconds. How long will it take the object to reach a height of 144 feet?
  88. physics

    A 2 kg object is released from rest from a height of 10 m above the ground. Calculate 1) the initial potential energy at the moment of release; 2) the kinetic energy at the moment it reaches 4 m above the ground 3) After the impact the object just before Impact with the ground
  89. Applied Calculus

    If an object is launched straight up into the air from a starting height of h_{0} feet, then the height of the object after t seconds is approximately h=-16t^2+v_{0}t+h_{0} feet, where v_{0} is the initial velocity of the object. Find the starting height and initial velocity ...
  90. Applied Calculus

    If an object is launched straight up into the air from a starting height of h_{0} feet, then the height of the object after t seconds is approximately h=-16t^2+v_{0}t+h_{0} feet, where v_{0} is the initial velocity of the object. Find the starting height and initial velocity ...
  91. physics

    A mass is dropped from a height of 30m, and at the same time from ground level (and directly beneath the dropped mass), and another mass is thrown straight up with a speed of 15 m/s. a) How far apart are the two masses after 0.5 s? b) Will the massses ever meet or pass each ...
  92. math

    An object that is falling or vertically projected into the air has it height, in feet, above the ground given by the formula below, where s is the height in feet, Vo is the original velocity of the object, in feet per second, t is the time the object is in motion in seconds, ...
  93. Calc

    2) A hot air balloon rising vertically is being tracked by an observer on the ground, located 60 meters from the take-off point. At a certain instant, the balloon is 30 meters above the ground and the angle of elevation (between the ground and the observer’s sight line) is ...
  94. Math

    If an object is launched straight up into the air from a starting height of h_{0} feet, then the height of the object after t seconds is approximately h=-16t^2+v_{0}t+h_{0} feet, where v_{0} is the initial velocity of the object. Find the starting height and initial velocity ...
  95. math

    if an object is projected upward from ground level with an initial velocity of 64 ft per sec,its height h in feet t seconds later is h=-16t+64t.after how many seconds is the height 48 ft.
  96. physics

    A plane is flying horizontally at a height of 500 m and a constant speed of 429 km/h when an object is projected vertically downward at an initial speed of 35.0 m/s. If air resistance is neglected, the average vertical component of velocity between the object's release and its...
  97. Sam E

    Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)? Select all that apply if more than one statement is correct. A. In how many seconds will the object have moved 4 ft. B. The object's ...
  98. Math Help

    Let v(t)=t^2−3t be the velocity, in feet per second, of an object at time t , in seconds. (c) What is the meaning of the quantity v(4)? Select all that apply if more than one statement is correct. A. In how many seconds will the object have moved 4 ft. B. The object's ...
  99. Algebra

    An object is fired vertically upward with an initial speed of 68.6 meters/second. After t seconds, the height is shown by y= -4.9t^2+68.6t meters. Given that this object has an initial speed of 68.6 m/s, what is the maximum height it will reach? How long did it take the rocket...
  100. Algebra

    An object is fired vertically upward with an initial speed of 68.6 meters/second. After t seconds, the height is shown by y = -4.9 t^2 + 68.6 t meters. Given that this object has an initial speed of 68.6 m/s, what is the maximum height it will reach? How long did it take the ...
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