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A particle moves in a straight line with an initial velocity of 10 m/s and accel

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Question: A particle moves in a straight line with an initial velocity of 10 m/s and accelerates at 2 m/s². What will be its velocity after 5 seconds?

Options:

  1. 20 m/s
  2. 30 m/s
  3. 40 m/s
  4. 50 m/s

Correct Answer: 30 m/s

Solution: 

Final velocity = initial velocity + (acceleration * time) = 10 m/s + (2 m/s² * 5 s) = 20 m/s.

A particle moves in a straight line with an initial velocity of 10 m/s and accel

Practice Questions

Q1
A particle moves in a straight line with an initial velocity of 10 m/s and accelerates at 2 m/s². What will be its velocity after 5 seconds?
  1. 20 m/s
  2. 30 m/s
  3. 40 m/s
  4. 50 m/s

Questions & Step-by-Step Solutions

A particle moves in a straight line with an initial velocity of 10 m/s and accelerates at 2 m/s². What will be its velocity after 5 seconds?
Correct Answer: 20 m/s
  • Step 1: Identify the initial velocity of the particle, which is 10 m/s.
  • Step 2: Identify the acceleration of the particle, which is 2 m/s².
  • Step 3: Identify the time duration for which the particle accelerates, which is 5 seconds.
  • Step 4: Use the formula for final velocity: Final velocity = initial velocity + (acceleration * time).
  • Step 5: Substitute the values into the formula: Final velocity = 10 m/s + (2 m/s² * 5 s).
  • Step 6: Calculate the acceleration part: 2 m/s² * 5 s = 10 m/s.
  • Step 7: Add the initial velocity and the calculated acceleration: 10 m/s + 10 m/s = 20 m/s.
  • Step 8: Conclude that the final velocity after 5 seconds is 20 m/s.
  • Kinematics – The study of motion, specifically how velocity changes over time due to acceleration.
  • Equations of Motion – Using the formula for final velocity in uniformly accelerated motion: v = u + at.
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