# If a rocket is shot vertically upward from the ground with an initial velocity of 192 ft/sec. a. When does it reach its maximum height above the ground? b. What is the maximum height reached by the rocket? c. How

38,411 results
1. ## Physics

A test rocket is launched vertically from ground level (y=0m), at time t=0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 97 m and acquired a velocity of 40 m/s.

2. ## Algebra

A toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function f(t)=-16t^2+48t , where t is the time in seconds since the rocket was shot and f(t) is the rocket’s height. What is the maximum height the

3. ## Math000

The height (in meters) of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of 21.5 m/s is h = 3 + 21.5t − 4.9t2 after t seconds. (Round your answers to two decimal places.) (a) Find the velocity after 2 s

4. ## Physics

Two particles Q and P are shot up vertically.P was first shot with velocity of40m/s and after4s.Q was also shot up.If upon meeting the velocity ofP is 15m/s.determine(1)where they met.(2)the velocity with which Q was shot up.Take g= 10m/s2

5. ## pyhsics

A cannonball is shot (from ground level) with an initial horizontal velocity of 36.0 m/s and an initial vertical velocity of 21.0 m/s. 1) What is the initial speed of the cannonball? 2) What is the initial angle θ of the cannonball with respect to the

6. ## Calculus 1

A ball is thrown vertically upward from ground level with initial velocity of 96 feet per second. Assume the acceleration of the ball is a(t) = -32 ft^2 per second. (Neglect air Resistance.) (a) How long will it take the ball to raise to its maximum

7. ## physics

A tennis ball is shot vertically upward from the surface of an atmosphere-free planet with an initial speed of 20.0 m/s. One second later, the ball has an instantaneous velocity in the upward direction of 15.0 m/s. What is the magnitude of the acceleration

8. ## mathematics

A rocket is fired upward from ground level with an initial velocity of 480km/hr. after t seconds its distance above the ground level is given by 480t_16t² for what time interval is the rocket more than 3200km above ground level

9. ## Physics

A projectile is shot vertically upward with a given initial velocity. It reaches a maximum height of 100 m. If, on a second shot, the initial velocity is doubled then the projectile will reach a maximum height of ____________?

10. ## physics

using a powerful air gun, a steel ball is shot vertically upward with a velocity of 80 m/s, followed by another shot after 5 seconds. find the initial velocity of the second ball to meet the first ball 150 m from the ground.

11. ## Aria

If a projectile is shot vertically upward from the ground with an initial velocity of 100 ft per sec, neglecting air resistance, its height s (in feet) above the ground t seconds after projection is given by s= -16t^2 + 100t a) After how many seconds will

12. ## algebra

A rocket is launched from atop a 76-foot cliff with an initial velocity of 107 ft/s. The height of the rocket above the ground at time t is given by . A) When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.

.A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 72 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by the function

14. ## Physics

A bullet is fired vertically upward with an initial velocity of 98m/s from the top of a building 100m high, find a) the maximum height reached above the ground b) the total time before reaching the ground. C) the velocity on landing.

15. ## algebra

A model rocket is launched upward with an initial velocity of 200 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h = −16t2 + 200t. How many seconds after the launch will the rocket be 380 feet above the ground?

16. ## physics

You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 17 m/s2. After 20 s, the engine shuts off and the rocket continues rising (in freefall) for a while. (Neglect

17. ## Physics 11U

At the moment when a shot putter releases a 5.00 kg shot, the shot is 2.00 m above the ground and travelling at 15.0 m/s. It reaches a maximum height of 8.0 m above the ground and then falls to the ground. Assume air resistance is negligible. a) What was

18. ## Basic Numeracy and statistics (math)

A rocket is shot into the air with an initial velocity of 800m/sec. The equation h = -16t2+144t models the height of the ball. how long does it take for the rocket to hit the ground (h=0)?

19. ## college algebra

A model rocket is launches upward with an initial velocity of 160 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h=-16t^2+160t. How many seconds after the launch will the rocket be 290 feet above the ground?

20. ## Calculus HELP

A rocket is fired into the air with an initial velocity of 98 m/s. The distance (s) the rocket is above the ground, in metres, after t seconds is given by the expression s(t) = 98t - 4.9t2. What is the rocket's instantaneous rate of change at the moment it

21. ## calculus

If a rocket is shot vertically upward from the ground with an initial velocity of 192 ft/sec, when does it reach its maximum height above the ground and what is that maximum height? Also find how long it takes to reach the ground again and with what speed

22. ## calculus

Suppose that an arrow was fired vertically upward from a crossbow at ground level and that it struck the ground 20 seconds later. If air resistance may be neglected, find the initial velocity of the bolt and the maxim altitude that it reached.

23. ## Math

A model rocket is launched straight upward with initial velocity of 22 m/s. The height of the rocket, h, in metres, can be modelled by h(t) = -5t^2 + 22t, where t is elapsed time in seconds. What is the maximum height the rocket reaches?

24. ## Calculus 1

The height (in meters) of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of 21.5 m/s is h = 3 + 21.5t − 4.9t2 after t seconds. (Round your answers to two decimal places.) a. When does it hit the ground? I

25. ## Calculus

Use a(t)=-32 ft/second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 56 feet per second. For how many seconds will the ball be going upward?

26. ## Calculus

If a rocket is shot vertically upward from the ground with an initial velocity of 192 ft/sec. a. When does it reach its maximum height above the ground? b. What is the maximum height reached by the rocket? c. How long does it take to reach the ground

27. ## algebra

a water rocket is launched with an initial velocity of 112ft/sec. its height h, in feet T seconds is given by the formula h=112T-16T^2. when will the rocket be exactly 192 ft above the ground? the rocket first reaches a height of 192ft after _____ and

28. ## physics

A rocket moves straight upward, starting from rest with an acceleration of +25.5 m/s2. It runs out of fuel at the end of 4.26 s and continues to coast upward, reaching a maximum height before falling back to Earth. (a) Find the rocket's velocity and

29. ## Math

Using h(t)=gt^2+v0t+h0, where g= -16, h0= initial height, v0= initial velocity, and t= time A rocket is fired into the air from the top of a building that is 200 feet tall. The initial velocity of the rocket is 600 feet/sec. If necessary, round answers to

30. ## geography

A rocket is shot into the air at a velocity of 48 ft/ sec. The equation is h(t) = -16t^2+48t+4 1) How far off the ground did the rocket start from? 2) Using the quadratic function, how high the rocket will be at its maximum point? 3) How long will it take

31. ## 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) If a rock is thrown upward from a

32. ## Physics

A rocket blasts off vertically from rest on the launch pad with an upward acceleration of 2.30 . At 10.0 after blastoff, the engines suddenly fail, which means that the force they produce instantly stops. How high above the launch pad will the rocket

33. ## Physics

A ball is shot vertically upward from the surface of another planet. A plot of y versus t for the ball is shown in the figure below, where y is the height of the ball above its starting point and t = 0 at the instance the ball is shot. The figure’s

34. ## Math

A rocket is launched from ground level with an initial vertical velocity (v0) of 176 ft/s. After how many seconds will the rocket hit the ground? (Hint: h(t) = -16t2 + v0t + h0)

35. ## science

A rocket is shot upward from the ground with an initial velocity of 15.5 m/s. How high does the rocket travel?

36. ## physics

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.0 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 980 m. At that point its

37. ## Physical

A toy rocket is launched vertically from ground level (y = 0 m), at time t = 0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 73 m and acquired a velocity of The

38. ## physics

A test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 80.2 m/s at ground level. Its engines then fire and it accelerates upward at 4.20 m/s2 until it reaches an altitude of 960 m. At that point its engines fail, and

39. ## calculus I

the height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with initial velocity of 24.5 m/s is h=2+24.5t-4.9t^2 after t seconds. Find the velocity after 2s and 4 s?

40. ## MATH

A toy rocket is launched vertically upward from ground level. This is represented as f(t) = -16t^2 + 128t where t is the time in second and f(t) is the height of the rocket in feet. When will the rocket hit the ground? divide both sides by -16 0 = -16t^2 +

41. ## Math

A model rocket is launched straight upward from the side of a 212-ft cliff. The initial velocity is 86 ft/sec. The height of the rocket h(t) is given by: h(t)=-16t^2+86t+212 where h(t) is measured in feet and t is the time in seconds. Use the quadratic

42. ## physics

A rocket moves straight upward, starting from rest with an acceleration of +25.5 m/s2. It runs out of fuel at the end of 4.26 s and continues to coast upward, reaching a maximum height before falling back to Earth. (a) Find the rocket's velocity and

43. ## algebra

A rocket is shot into the air at a velocity of 48 ft/ sec. The equation is h(t) = -16t^2+48t+4 1) How far off the ground did the rocket start from? 2) Using the quadratic function, how high the rocket will be at its maximum point? 3) How long will it take

44. ## algebra

A rocket is shot into the air at a velocity of 48 ft/ sec. The equation is h(t) = -16t^2+48t+4 1) How far off the ground did the rocket start from? 2) Using the quadratic function, how high will the rocket be at its maximum point? 3) How long will it take

45. ## Physics help--explosion

Figure 9-56 shows a two-ended "rocket" that is initially stationary on a frictionless floor, with its center at the origin of an x axis. The rocket consists of a central block C (of mass M = 6.00 kg) and blocks L and R (each of mass m = 2.90 kg) on the

46. ## Physics

A stone is thrown vertically upward from outside a window, with an initial velocity of 24.0 m/s. It moves up, and then down to the ground 420 m below the point where it started. Let `up' be positive. (a) What is the maximum height above the window to which

47. ## Algebra

A ball is thrown vertically upward from the ground with an initial velocity of 103 ft per sec. Determine what the maximum height will be

48. ## math

a model rocket is projected straight upward from the ground level. It is fired with an initial velocity of 192 ft/s. How high is the rocket after 10 seconds? When is the rocket at a height of 432 feet? What is the maximum height of the rocket? When will

49. ## math

a model rocket is projected straight upward from the ground level. It is fired with an initial velocity of 192 ft/s. How high is the rocket after 10 seconds?

50. ## Physics

A test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 80.2 m/s at ground level. Its engines then fire and it accelerates upward at 4.20 m/s2 until it reaches an altitude of 960 m. At that point its engines fail, and

51. ## physic

A sounding rocket, launched vertically upward with an initial speed of 79.0 m/s, accelerates away from the launch pad at 5.70 m/s2. The rocket exhausts its fuel, and its engine shuts down at an altitude of 1.15 km, after which it moves freely under the

52. ## physics

A test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 81.0 m/s at ground level. Its engines then fire and it accelerates upward at 4.10 m/s2 until it reaches an altitude of 940 m. At that point its engines fail, and

53. ## physics

A stationary rocket is launched vertically upward. After 4s, the rocket's fuel is used up and it is 225.6 m above the ground. At this instant the velocity of the rocket is 112,8 m/s. Then the rocket undergoes free fall. Ignore the effect of the air

54. ## physics

A test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 80.8 m/s at ground level. Its engines then fire and it accelerates upward at 3.90 m/s2 until it reaches an altitude of 920 m. At that point its engines fail, and

55. ## physics

A test rocket is launched vertically from ground level (y = 0 m), at time t = 0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49 m and acquired a velocity of

56. ## physics

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.2 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.80 m/s2 until it reaches an altitude of 1180 m. At that point its

57. ## Physics

A model rocket with mass 1 kg is launched from the ground, starting from rest, and accelerates vertically due to an upward thrust of 25N being produced by the rocket’s engine. The rocket accelerates vertically for a time of 10 seconds at which point the

58. ## math

If a rocket is shot upward with an initial speed of 176 feet per second from a platform 64 feet above the ground, when will the rocket be at its maximum height and how high will it be? Hint: The graph of a parabola is symmetric.

59. ## physics

A rocket is fired vertically and reaches a speed of 34.3 m/s in half a second. One and a half seconds later the rocket’s speed is 19.6 m/s. Find the acceleration (in m/s2) and initial velocity (in m/s) of the rocket. Complete the equation of motion for

60. ## physics

A new SpaceX rocket is being tested and launches from the ground. The first stage rocket engine provides constant upward acceleration during the burn phase. After the first stage engine burns out, the rocket has risen to 105.0 m and acquired an upward

61. ## physics

A ball is shot upward from the ground with an initial velocity of 12.0 m/s, along a y-axis that extends upward and that has its origin y = 0 on the ground. How much time does the ball take to move upward from y = 3.00 m to y = 5.00 m?

The path of a bottle rocket being launched into the air and falling back to the ground can be modeled by the equation s=1/2 at^2+v_o t+s_o where s is the height of the object, a is the acceleration, vo is the initial velocity, and so is the initial height.

63. ## physics

You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 17 m/s2. After 20 s, the engine shuts off and the rocket continues rising (in freefall) for a while. (Neglect

64. ## Physics

A cannonball is shot (from ground level) with an initial horizontal velocity of 38.0 m/s and an initial vertical velocity of 26.0 m/s. The initial speed of the cannonball 46.04 m/s The initial angle θ of the cannonball with respect to the ground 34.38°

65. ## Physics

A cannonball is shot (from ground level) with an initial horizontal velocity of 38.0 m/s and an initial vertical velocity of 26.0 m/s. The initial speed of the cannonball 46.04 m/s The initial angle θ of the cannonball with respect to the ground 34.38°

66. ## Physics

A cannonball is shot (from ground level) with an initial horizontal velocity of 38.0 m/s and an initial vertical velocity of 26.0 m/s. The initial speed of the cannonball 46.04 m/s The initial angle θ of the cannonball with respect to the ground 34.38°

67. ## physics

A cannonball is shot (from ground level) with an initial horizontal velocity of 38.0 m/s and an initial vertical velocity of 26.0 m/s. 1) What is the initial speed of the cannonball? 2) What is the initial angle θ of the cannonball with respect to the

68. ## Physics

A cannonball is shot (from ground level) with an initial horizontal velocity of 38.0 m/s and an initial vertical velocity of 26.0 m/s. The initial speed of the cannonball 46.04 m/s The initial angle θ of the cannonball with respect to the ground 34.38°

69. ## math

a spy tracks a rocket through a telescope to determine its velocity. the rocket is traveling vertically upward from a launching pad 10,000 m away. at a certain moment the angle between the telescope and the ground is equal to pi/3 and is changin g at a

70. ## physics

A test rocket is launched vertically from ground level (y = 0 m), at time t = 0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49 m and acquired a velocity of

71. ## Calculus

Mathematica Project - Position, Velocity, and Acceleration? A rocket is fired vertically upward into the air from a launching platform 100 ft above the ground. The platform is then retracted, and the rocket is allowed to fall to the ground. The height (in

72. ## Physics

A model rocket is launched vertically upward from the ground. After 4.3s, its fuel is completely burned. Assume uniform acceleration of 3.0 m/s2 while the fuel is burning. What is the velocity of the rocket at the instant that the fuel is completely

73. ## Physics

A new SpaceX rocket is being tested and launches from the ground. The first stage rocket engine provides constant upward acceleration during the burn phase. After the first stage engine burns out, the rocket has risen to 105.0 m and acquired an upward

74. ## physics

A rocket is fired straight up and accelerates upward at 24 m/s2 for 12 seconds. The rocket then runs out of fuel and coasts. Ignore any air resistance effects and use -9.8 m/s2 for the local acceleration due to gravity. a) What is the rocket’s maximum

75. ## physics

You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 19 m/s2. After 23 s, the engine shuts off and the rocket continues rising (in freefall) for a while. (Neglect

76. ## physics

You have designed a rocket to be used to sample the local atmosphere for pollution. It is fired vertically with a constant upward acceleration of 15 m/s2. After 21 s, the engine shuts off and the rocket continues rising (in freefall) for a while. (Neglect

77. ## Physics

Hi! i am going to apply for a medical study admission test and where just wondering if you guys could help me to come up with the formula for solving this problem. I am not looking for a answer, just the mathematical formula to solve theese kind of

78. ## Physics

A model rocket has a mass of 3.00 kg. It is fired so that when it is 220 m above the ground it is travelling vertically upward at 165 m/s. At that point its fuel runs out so that the rest of its flight is without power. Assume that the effect of air

79. ## Physics

Can someone help me find Delta Time for the first 150 meters of this question. Everytime I try and get it by using the quadratic formula I get two negative numbers which I don't think is right. A model rocket is launched straight upward with an initial

80. ## Math Gr 12

A model rocket is shot straight into the air. Its height in meters a "t" seconds is given by h=-4.9^2+29.4t. a) What is the rocket's initial height? c)When does the rocket reach the ground?

81. ## algebra

A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h after t seconds is given by the equation: h(t) = -16t^2 + 112t + 5 How long will it take for the rocket to reach maximum

82. ## intro to physics

a toy rocket moving vertically upward passes by a 2.2m- high window whose sill is 7.0m above the ground. the rocket takes 0.17s to travel the 2.2m height of the wondow part a): what was the launch speed of the rocket ? assume the propellant is burned very

83. ## Physics

A 5000 kg cart carrying a vertical rocket launcher moves to the right at a constant speed of 27.0 m/s along a horizontal track. It launches a 54.8 kg- rocket vertically upward with an initial speed of 33.1 m/s relative to the cart. A) where will the rocket

84. ## Physics

A girl throws a ball vertically upward from a building at an initial height of 55.0 m above the ground with an initial speed of 5.00 m/s. a) What is the velocity of the ball at the highest point in its trajectory? b) Calculate the velocity of the ball just

85. ## physics

A rock is shot up vertically upward from the edge of the top of the building. The rock reaches its maximum height 2 s after being shot. Them, after barely missing the edge of the building as it falls downward, the rock strikes the ground 8 s after it was

86. ## PHYSICS

A SUPERSONIC FIGHTER JET FLYING HORIZONTALLW AT HEIGHT OF 4KM ABOVE THE GROUND AND AT A SPEED OF 400M/S FIRES A ROCKET VERTICALLY DOWNWARD. THE ROCKET IS RELEASED WITH AN INITIAL SPEED OF 80M/S CALCULATE THE TIME OF FLIGHT OF THE ROCKET AND THE HORIZONTAL

87. ## math

A rocket is fired straight up from the ground with an initial velocity of 800 feet per second. (a) How long does it take the rocket to reach 3200 feet? (b) When will the rocket hit the ground?

88. ## math,correction

Can someone correct my answers thanks. Problem #1 The equation h= -16t^2+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for

89. ## Math

A water rocket was launched from the ground, with an initial velocity of 32m/s. The rocket achieved a height of 44 m after 2 s of flight. The rocket was in the air for 6 s. Determine the quadratic functionthat models the height of the rocket over time.

90. ## Physics

A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components a(t)_x=alpha*t^2 and a(t)_y=beta-gamma*t, where alpha = 2.50 , beta= 9.00 , and gamma= 1.40 . At the rocket is at the

91. ## 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

92. ## Physics

Maria throws an apple vertically upward from a height of 1.3m unit an initial velocity of velocity of 12.4m/s 1. will the apple reach a friend in a tree house 5.3m above the ground. 2. If the apple is not caught, how long will the apple be in the air

93. ## science

A rocket is shot upward from the ground with an initial velocity of 15.5 m/s. How high does the rocket travel?

94. ## Algebra

Using the formula h=-16^2+vt+s Answer the question: A rocket is shot upward off a 25 foot high balcony with an initial velocity of 96 feet per second. How many seconds will it take until the rocket hits the ground?

95. ## physics

When it is 152 m above the ground, a rocket traveling vertically upward at a constant 9.50 m/s relative to the ground launches a secondary rocket at a speed of 12.4 m/s at an angle of 50.0 degrees above the horizontal, both quantities being measured by an

96. ## Physics

A rocket is fired vertically with an upward acceleration of 30 m/s2. After 20 s, the engine shuts off and the rocket then continues rising (while in free-fall). The rocket eventually stops rising and then falls back to the ground. (a) What is the highest

97. ## Physics

A stone is thrown vertically upward from outside a window, with an initial velocity of 24.0 m/s. It moves up, and then down to the ground 420 m below the point where it started. Let `up' be positive. (a) What is the maximum height above the window to which

98. ## physics

A cannonball is shot (from ground level) with an initial horizontal velocity of 41 m/s and an initial vertical velocity of 22 m/s. 1) What is the speed of the cannonball 1.7 seconds after it was shot? 2) How high above the ground is the cannonball 1.7

99. ## phyisics

an orangutan throws a coconut vertically upward at the foot of a clif 40 m high while his mate simulaneously drops another coconut from the top of the clif. the two coconuts collide at an altitude of 20 m what is the initial velocity of the coconut that

100. ## Intermediate algebra

If a ball is thrown vertically upward from the ground, with an initial velocity of 64 ft/s, it's height h after t seconds is given by h=-16t^2+64t how long does it take the ball to return to the ground?