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A rocket rises vertically, from rest, with an acceleration of 3.2 m/s2 until it runs out
Chapter 2, Problem 75GP(choose chapter or problem)
Problem 75GP
A rocket rises vertically, from rest, with an acceleration of 3.2 m/s2 until it runs out of fuel at an altitude of 1200 m. After this point, its acceleration is that of gravity, downward. (a) What is the velocity of the rocket when it runs out of fuel? (b) How long does it take to reach this point? (c) What maximum altitude does the rocket reach? (d) How much lime (total) does it take to reach maximum altitude? (e) With what velocity does the rocket strike the Earth? (f) How long (total) is it in the air?
Questions & Answers
QUESTION:
Problem 75GP
A rocket rises vertically, from rest, with an acceleration of 3.2 m/s2 until it runs out of fuel at an altitude of 1200 m. After this point, its acceleration is that of gravity, downward. (a) What is the velocity of the rocket when it runs out of fuel? (b) How long does it take to reach this point? (c) What maximum altitude does the rocket reach? (d) How much lime (total) does it take to reach maximum altitude? (e) With what velocity does the rocket strike the Earth? (f) How long (total) is it in the air?
ANSWER:
Solution 75 GP
Step 1 of 7:
In this question, we need to find the velocity of the rocket when it’s fuel runs out
In part b, we need to find the time taken by the rocket
In part c, we need to find the maximum altitude reached by the rocket
In part d, we need to time taken by the rocket to reach maximum altitude
In part e, we need to find the velocity with which the rocket will strike the Earth
In part f, we need to find time rocket remains in air
Data given
Acceleration of the rocket
Height reached by the rocket
Part a: