A prototype of a rocket is fired from the ground. The rocket rises vertically up with a uniform acceleration of `(5)/(4)m//s^(2)`. 8 second after the start a small nut gets detached from the rocket. Assume that the rocket keeps rising with the constant acceleration.
(a) What is the height of the rocket at the instant the nut lands on the ground
(b) Plot the velocity – time graph for the motion of the nut after it separates from the rocket till it hits the ground. Plot the same velocity– time graph in the reference frame of the rocket. Take vertically upward direction as positive and `g = 10 m//s^(2)`

Answer

(a) `90 m`
`(##IJA_PHY_V01_C02_E01_069_A01##)`