Arocket accelerates straight up from the ground at 12.6 m/s^2 for 11.0 s. then the engine cuts off and the rocket enters free fall. (a) find its velocity at the end of its upward acceleration. (b) what maximum height does it reach? (c) with what velocity does it crash to earth? (d) what's the total time from launch to crash?

a) 138.6 m/s

b) 762.3 m

c) 122.3 m/s

d) 24.47

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

Velocity at the end of its upward acceleration is 138.6 m/s

Maximum height the rocket reaches is 762.3 m

The velocity with which the rocket crashes to the Earth is 122.3 m/s

Total time from launch to crash is 12.47+11 = 24.47 seconds

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.