A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 44.1m/s2 . The acceleration period lasts for time 5.00s until the fuel is exhausted. After that, the rocket is in free fall.Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant acceleration due to gravity equal to 9.80 m/s2 . Write your answer numerically in units of meters.

The acceleration of a bus is given by ax(t) = αt, where α = 1.15 m/s3 is a constant. a. If the bus's velocity at time t1 = 1.05 s is 4.90 m/s, what is its velocity at time t2 = 2.20 s? b. If the bus's position at time t1 = 1.05 s is 6.05 m, what is its position at time t2 = 2.20 s?

A bullet shot straight up returns to its starting point in 59.1 s. embedding itself 16.9 cm deep in a wooden block. What is the average acceleration the bullet encounters in the block (in standard units)? Answer: Check

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 certain freely falling object, released from rest, requires 1.35 s to travel the last 27.0 m before it hits the ground. (a) Find the velocity of the object when it is 27.0 m above the ground. (Indicate the direction with the sign of your answer. Let the positive direction be upward.) Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) Find the total distance the object travels during the fall. m

A ball is thrown straight downward with an initial speed of 6.43 from the roof of a building. It hits the ground a time of 1.14s after it is thrown. Ignore air resistance. The height of the building is _m. Express your answer as a positive number.

Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lasting for any length of time will not cause injury, whereas an acceleration greater than 1000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.36 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.2 mm. If the floor is carpeted, this stopping distance is increased to about 1.2 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume that the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. Hardwood floor magnitude  m/s2 duration  ms Carpeted floor magnitude  m/s2 duration  ms

Rocket-powered sleds are been used to test the responses of humans to acceleration. Starting from rest, one sled can reach a speed of 510 m/s in 2.37 s and can be brought to a stop again in 3.15 s. Find the acceleration of the sled while accelerating. Answer in units of m/s2. Find the acceleration of the sled when braking. Answer in units of m/s2.

On a hot day in the flats, the temperature is 100.9 degrees. A driver finds an empty, flat stretch of desert that is 1575 meters long and decides to push the limits of his car. He finds the car can accelerate from 0 to 60 mph (26.8 m/s) in 4.21 s. Now he wants to see how fast the car can go. Assume the car maintains the same average acceleration until it reaches its top speed of 69.1 m/s. (a) How long will it take the car to reach its top speed? (b) How far will the car travel before it reaches its top speed?