A train starts from rest and accelerates uniformly at 2 m/s². What is its speed

Practice Questions

Q1
A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)
  1. 10 m/s
  2. 20 m/s
  3. 30 m/s
  4. 40 m/s

Questions & Step-by-Step Solutions

A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)
  • Step 1: Identify the initial velocity of the train. Since the train starts from rest, the initial velocity is 0 m/s.
  • Step 2: Identify the acceleration of the train. The problem states that the acceleration is 2 m/s².
  • Step 3: Identify the time for which the train accelerates. The problem states that this time is 10 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 = 0 + (2 m/s² * 10 s).
  • Step 6: Calculate the result: final velocity = 0 + 20 = 20 m/s.
  • Uniform Acceleration – The train accelerates at a constant rate, allowing the use of the linear motion equations.
  • Kinematic Equations – Application of the formula for final velocity in uniformly accelerated motion.
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