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Chapter 1: Q77P (page 64)

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鈥檚 surface and is to reach a maximum height of 960 m above the earth鈥檚 surface. The rocket鈥檚 engines give the rocket an upward 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?

Short Answer

Expert verified

The value of T is 15.49 s.

Step by step solution

01

Identification of given data

Maximum height = 960 m

Upward acceleration = 16.0 m/s2

02

Calculation for the time T

As we know that

d=12脳aT2960=11脳16.0脳T2T=15.49s

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