A particle moves in a straight line with an acceleration of 4 m/s². If its initi

Practice Questions

Q1
A particle moves in a straight line with an acceleration of 4 m/s². If its initial velocity is 2 m/s, what will be its velocity after 5 seconds?
  1. 22 m/s
  2. 20 m/s
  3. 18 m/s
  4. 16 m/s

Questions & Step-by-Step Solutions

A particle moves in a straight line with an acceleration of 4 m/s². If its initial velocity is 2 m/s, what will be its velocity after 5 seconds?
Correct Answer: 22 m/s
  • Step 1: Identify the initial velocity of the particle, which is 2 m/s.
  • Step 2: Identify the acceleration of the particle, which is 4 m/s².
  • Step 3: Identify the time duration for which the particle is moving, 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 = 2 + (4 * 5).
  • Step 6: Calculate the acceleration multiplied by time: 4 * 5 = 20.
  • Step 7: Add the initial velocity to the result from Step 6: final velocity = 2 + 20.
  • Step 8: Calculate the final velocity: final velocity = 22 m/s.
  • Kinematics – The study of motion, specifically how velocity, acceleration, and time relate to each other.
  • Equations of Motion – Using the formula for final velocity in uniformly accelerated motion.
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