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Mechanical EngineeringQ&A LibrarySpecifically a dynamics problem:Two rockets start from rest at the same elevation. Rocket A accelerates vertically at 20 m/s2 for 12 s and then maintains a constant speed. Rocket B accelerates at 15 m/s2 until reaching a constant speed of 150 m/s.Construct the a-t, v-t, and s-t graphs for each rocket until t = 20 s. What is the distance between both rockets when t = 20 s?Question

Asked Jan 19, 2020

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Specifically a dynamics problem:

Two rockets start from rest at the same elevation. Rocket A accelerates vertically at 20 m/s^{2} for 12 s and then maintains a constant speed. Rocket B accelerates at 15 m/s^{2} until reaching a constant speed of 150 m/s.Construct the a-t, v-t, and s-t graphs for each rocket until t = 20 s. What is the distance between both rockets when t = 20 s?

Step 1

The equation for both the rockets is taken separately.

**For rocket A:**

The velocity of rocket is calculated using the relation,

Step 2

And, elevation of the rocket is calculated by using the equation of motion,

Step 3

When the time is between t =12 sec to t = 20 sec then, t ˃12.

Since the rocket accelerate at const...

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