A two-stage rocket accelerates from rest at +3.57 m/s/s for 6.82 seconds. It then accelerates at +2.98 m/s/s for another 5.90 seconds. After the second stage, it enters into a state of free fall. Determine: the maximum speed the maximum altitude the height of the rocket after 20.0 seconds the total time the rocket is in the air (assuming it is launched from the ground)

A juggler performs in a room whose ceiling is 4.62 m above the level of his hands. He throws a ball upward with an upward speed of v 0 so that it just reaches the ceiling. At the instant when the first ball is at ceiling, the juggler throws a second ball upward with 4v 0 /3 velocity. At what distance above the juggler’s hand do they pass each other?

While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 6.71 m/s. The stone subsequently falls to the ground, which is 16.7 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use g = 9.81 m/s² for the acceleration due to gravity. impact speed: m/s How much time is the stone in the air? elapsed time: S

A ball is thrown down with an initial speed of 3.00 m/s from a height of 7.00 m above the ground. What is its speed right before it hits the ground, in m/s? Use g = 10.0 m/s2.

You are playing Hot Rod toy cars with your nephew and niece. Your nephew wanted to show off how fast he could launch a Hot Rod off the dining table 1.00 m above the floor by thrusting the car forward very fast but was no match against your niece who compensated slight lack of speed by pushing the car straight forward reaching a speed of 4.5 m/s at the edge of the table top when she let go of it. What was the magnitude of the final speed when it hit the floor?

A rocket, initially at rest on the ground, accelerates upward with a constant acceleration of 94.0 m/s2 until it reaches a speed of 1.50E2 m/s when the engines are cut off. After that, the rocket is in free-fall. What is the maximum height reached by the rocket?

How long does it take to hit the ground?

A missile silo is used to launch military rockets vertically upward out of the silo, giving the rocket an initial speed of 79.6 m/s at ground level. As the rocket clears the silo, the engines fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1,080 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of -9.80 m/s². (You will need to consider the motion while the engine is operating and the free-fall motion separately. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the velocity of the rocket (in m/s) at the end of the engine burn time and also the burn time (in s). (For the velocity, indicate the direction with the sign of your answer.) velocity at end of engine V = 92.22 Check your kinematic equation relating vo, V1, ay, and AYo → 1 (where velocity of rocket as it clears the silo, v, = velocity of the rocket at…

This time you drop a ball from a height of 1.82 m and it hits the floor 0.365 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be?     27.3 m/s^2     33.3 m/s^2     17.5 m/s^2     37.1 m/s^2

A juggler throws a bowling pin straight up with an initial speed of 7.4 m/s from an initial height of 3 m. How much time elapses until the bowling pin returns to the same initial height? (Do not round off the final answer)