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A rocket is fired vertically upwards with a net acceleration of 4 m/s^2 and initial velocity zero. After 5 seconds it's fuel is finished and it decelerates with g.At the highest point it's velocity becomes zero. Then, it accelerates down wards with acceleration g and return back to ground. Plot velocity-time and displacement-time graphs for the complete journey?
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A rocket is fired vertically upwards with a net acceleration of 4 m/s^...
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Problem Statement

A rocket is fired vertically upwards with a net acceleration of 4 m/s^2 and initial velocity zero. After 5 seconds it's fuel is finished and it decelerates with g.At the highest point it's velocity becomes zero. Then, it accelerates down wards with acceleration g and return back to ground. Plot velocity-time and displacement-time graphs for the complete journey? Explain in details.


Explanation

Let's break down the journey of the rocket into three parts:


  • Part 1: Rocket is fired vertically upwards with an acceleration of 4 m/s^2

  • Part 2: Rocket decelerates with acceleration g until its velocity becomes zero at the highest point

  • Part 3: Rocket accelerates downwards with acceleration g until it reaches the ground



Part 1: Rocket is fired vertically upwards with an acceleration of 4 m/s^2

From the given information, we know that the rocket is accelerating upwards with an acceleration of 4 m/s^2 and its initial velocity is zero. Therefore, we can use the following kinematic equation to calculate the displacement and velocity of the rocket at any given time:

s = ut + 1/2 * a * t^2

v = u + a * t


Where:


  • s = displacement

  • u = initial velocity

  • t = time

  • a = acceleration

  • v = final velocity



Let's calculate the displacement and velocity of the rocket at different time intervals:
















































Time (s) Acceleration (m/s^2) Displacement (m) Velocity (m/s)
0 4 0 0
1 4 2 4
2 4 8 8
3 4 18 12
4 4 32 16
5 4 50 20
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A rocket is fired vertically upwards with a net acceleration of 4 m/s^2 and initial velocity zero. After 5 seconds it's fuel is finished and it decelerates with g.At the highest point it's velocity becomes zero. Then, it accelerates down wards with acceleration g and return back to ground. Plot velocity-time and displacement-time graphs for the complete journey?
Question Description
A rocket is fired vertically upwards with a net acceleration of 4 m/s^2 and initial velocity zero. After 5 seconds it's fuel is finished and it decelerates with g.At the highest point it's velocity becomes zero. Then, it accelerates down wards with acceleration g and return back to ground. Plot velocity-time and displacement-time graphs for the complete journey? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A rocket is fired vertically upwards with a net acceleration of 4 m/s^2 and initial velocity zero. After 5 seconds it's fuel is finished and it decelerates with g.At the highest point it's velocity becomes zero. Then, it accelerates down wards with acceleration g and return back to ground. Plot velocity-time and displacement-time graphs for the complete journey? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket is fired vertically upwards with a net acceleration of 4 m/s^2 and initial velocity zero. After 5 seconds it's fuel is finished and it decelerates with g.At the highest point it's velocity becomes zero. Then, it accelerates down wards with acceleration g and return back to ground. Plot velocity-time and displacement-time graphs for the complete journey?.
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