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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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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