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Advanced PhysicsQ&A LibraryDuring your summer internship for an aerospace company, you are asked to design a small research rocket. The rocket is to be launched from rest from the earth's surface and is to reach a maximum height of 980 m above the earth's surface. The rocket's engines give the rocket an upward acceleration so it moves with the acceleration of 16.0 m/s2 during the time T, that they fire. After the engines shut off, the rocket is in free fall. Ignore air resistance. What must be the value of T in order for the rocket to reach the required altitude?Question

Asked Aug 28, 2019

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During your summer internship for an aerospace company, you are asked to design a small research rocket. The rocket is to be launched from rest from the earth's surface and is to reach a maximum height of 980 m above the earth's surface. The rocket's engines give the rocket an upward acceleration so it moves with the acceleration of 16.0 m/s2 during the time T, that they fire. After the engines shut off, the rocket is in free fall. Ignore air resistance.

What must be the value of T in order for the rocket to reach the required altitude?

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Step 1

Given Information :

Rocket is launched from rest .

Initial velocity of the rocket u = 0

Maximum height reached by the rocket H = 980 m

Acceleration of the rocket during the time(T) when it is fired is = 16 m/s2 (upwards)

Step 2

Distance travelled by the rocket during time “T” ( when it is firing )

Step 3

Distance travelled by the rocket after shutting ...

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