# 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
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. ## 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?
4. ## 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
5. ## 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
6. ## -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
7. ## 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
8. ## 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
9. ## 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
10. ## 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
11. ## 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
12. ## 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
13. ## 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
14. ## 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
15. ## 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?
16. ## 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
17. ## 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
18. ## 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
19. ## 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.
20. ## 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?
21. ## 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
22. ## 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.
23. ## 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
24. ## 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
25. ## 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
26. ## 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?
27. ## 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
28. ## 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
29. ## 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
30. ## 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
31. ## 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!!
32. ## 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
33. ## 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
34. ## 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
35. ## 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
36. ## 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
37. ## 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
38. ## 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
39. ## AP 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
40. ## 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.
41. ## 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
42. ## 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?
43. ## physics

1. The ceiling of a classroom is 3.75m above the floor. A student tosses an apple vertically upward, releasing it 0.50 meters above the floor what is the maximum magnitude of the initial velocity that can be given to the apple if it is not to touch the
44. ## math

using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid
45. ## math

using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid
46. ## math. can someone explain this!

using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid
47. ## 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
48. ## 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
49. ## 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
50. ## 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
51. ## 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
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
53. ## 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?
54. ## 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
55. ## 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
56. ## 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
57. ## 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
58. ## 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
59. ## 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
60. ## 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
61. ## 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 ...
62. ## 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
63. ## 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
64. ## 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?
65. ## 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?
66. ## 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
67. ## 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?
68. ## 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
69. ## 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
70. ## 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
71. ## 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)
72. ## 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
73. ## 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?
74. ## Physics

a) Newton's law of motion states that the acceleration acting on a falling body (assuming no other forces) is  x" = -g, where x(t) is the height of the object above the ground, t is time, and g is the gravitational constant. Find a general expression to
75. ## Physics

a) Newton's law of motion states that the acceleration acting on a falling body (assuming no other forces) is  x" = -g, where x(t) is the height of the object above the ground, t is time, and g is the gravitational constant. Find a general expression to
76. ## 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
77. ## 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
78. ## physics

2) Two objects, A and B, initially at rest, are "exploded" apart by the release of a coiled spring that was compressed between them. As they move apart, the velocity of object A is 5 m/s and the velocity of object B is -2 m/s. What is the ratio of the mass
79. ## algebra

We can determine the time it would take an object to fall (if there were no air resistance) by using the formula where d is the distance. A. How long does it take a quarter dropped from a 35 foot roof to reach the ground? B. If there are 5,280 feet in one
80. ## Physics

You lean over the edge of a building that is 106 meters above the ground and throw an object straight upwards. This object takes 3 seconds to reach its maximum vertical displacement above your hand and then falls to the ground. From the moment it leaves
81. ## physics

A)You are in a hot air balloon (yes, another balloon problem!) rising from the ground at a constant velocity of 2.50 m/s upward. To celebrate the takeoff, you open a bottle of champagne, expelling the cork with a horizontal velocity of 5.70 m/s relative to
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
83. ## Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time in seconds sine the
84. ## Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time in seconds sine the
85. ## 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?
86. ## 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?
87. ## 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?
88. ## 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?
89. ## 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?
90. ## 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?
91. ## 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?
92. ## 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
93. ## 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
94. ## physices

an object is falling freely from rest of height of 65m above the ground what is the height of the object from the ground in meter when it reaches velocity of 20m/s?
95. ## Physics

An object is dropped from a height H and reaches the ground with a velocity v. The same object is thrown down from the same height H with an initial velocity v and reaches the ground with a velocity v2. Which of the following is the relationship between v2
96. ## 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
97. ## physics

An object is dropped from a height H above the ground. This free-falling object requires 0.904 s to travel the last 34 m before hitting the ground. From what height H above the ground did the object fall? The acceleration of gravity is 9.8 m/s^2. Answer in
98. ## physics

An object is dropped from a height H above the ground. This free-falling object requires 0.904 s to travel the last 34 m before hitting the ground. From what height H above the ground did the object fall? The acceleration of gravity is 9.8 m/s^2. Answer in
99. ## Applied Calculus

Suppose that an object is thrown down towards the ground from the top of the 1100-ft tall Sears Tower with an initial velocity of – 20 feet per second (the negative velocity indicates that the object is moving towards the ground). Given that the
100. ## 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