Amodel rocket blasts off from the ground, rising straight upward with a constant acceleration that has a magnitude of 85.0 m/s2 for 2.30 seconds, at which point its fuel abruptly runs out. air resistance has no effect on its flight. what maximum altitude (above the ground) will the rocket reach?

Maximum height attained by the model rocket is 2172.87 m

Explanation:

Given,

We have to consider the whole motion into two parts

In first part the rocket is moving with an acceleration of a = 85.0 for the time t = 2.30 s before the fuel abruptly runs out.

Let be the height attained by the rocket during this time intervel,

And Final velocity at that point be v

Now, in second part, after reaching the altitude of 224.825 m the fuel abruptly runs out. Therefore rocket is moving upward under the effect of gravitational acceleration,

Let '' be the altitude attained by the rocket to reach at the maximum point after the rocket's fuel runs out,

At that insitant,

From the kinematics,

Hence the maximum altitude attained by the rocket from the ground is