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A test rocket is fired straight up from rest with a net acceleration of 20 m/s2. After 4 seconds the motor turns off, but the rocket continues to coast upward. What maximum elevation does the rocket reach?  Looking for conceptual sense

Question

A test rocket is fired straight up from rest with a net acceleration of 20 m/s2. After 4 seconds the motor turns off, but the rocket continues to coast upward. What maximum elevation does the rocket reach?  Looking for conceptual sense

 

check_circleAnswer
Step 1

Given:

Initial velocity of the rocket (u) = 0
Acceleration 20 m/s2
Time 4s
Distance covered by the rocket before the motor turns off
S1 = ut
2
1
x20 x4x 4
2
=0x4
=0 +160
160 m
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Initial velocity of the rocket (u) = 0 Acceleration 20 m/s2 Time 4s Distance covered by the rocket before the motor turns off S1 = ut 2 1 x20 x4x 4 2 =0x4 =0 +160 160 m

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Step 2

Velocity of the rocket at the time motor turns off,

v u+at
v 020x4
= 80 m/s
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v u+at v 020x4 = 80 m/s

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Step 3

Distance covered by the rocket after the motor turns off.

Here initial velocity of the rocket (v1) = 80 m/s

Final veloci...

vi-v2gs
0-(80)2x9.8 x s
-6400
S2
-2 x9.8
=326.53 m
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Image Transcriptionclose

vi-v2gs 0-(80)2x9.8 x s -6400 S2 -2 x9.8 =326.53 m

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