Question

A 10000 kg rocket blasts off vertically from the launch pad with a constant upward of 2.25 m/s2 and feels no appreciable air resistance. When it has reached a height of 525 m, its engine suddenly fails so that only gravity acts on it after that. What is the maximum height that the rocket reaches?

Answer 1

Answer:

The maximum height that the rocket reaches is 645.5 m.

Explanation:

Given that,

Mass = 10000 kg

Acceleration = 2.25 m/s²

Distance = 525 m

We need to calculate the velocity

Using equation of motion

$v^2=u^2+2as$

Put the value in the equation

$v^2=0+2\time2.25\times525$

$v=\sqrt{2\times2.25\times525}$

$v=48.60\ m/s$

We need to calculate the maximum height with initial velocity

Using equation of motion

$v^2=u^2-2gh$

$h=\dfrac{v^2-u^2}{-2g}$

Put the value in the equation

$h=\dfrac{0-(48.60)^2}{-2\times9.8}$

$h=120.50\ m$

The total height  reached by the rocket is

$h'=s+h$

$h'=525+120.50$

$h'=645.5\ m$

Hence, The maximum height that the rocket reaches is 645.5 m.