A cyclist accelerates at 3 m/s² for 4 seconds. What is the final velocity if the

Practice Questions

Q1
A cyclist accelerates at 3 m/s² for 4 seconds. What is the final velocity if the initial velocity is 2 m/s? (2023)
  1. 10 m/s
  2. 11 m/s
  3. 14 m/s
  4. 20 m/s

Questions & Step-by-Step Solutions

A cyclist accelerates at 3 m/s² for 4 seconds. What is the final velocity if the initial velocity is 2 m/s? (2023)
  • Step 1: Identify the initial velocity (u). In this case, u = 2 m/s.
  • Step 2: Identify the acceleration (a). Here, a = 3 m/s².
  • Step 3: Identify the time (t) for which the cyclist accelerates. In this case, t = 4 seconds.
  • Step 4: Use the formula for final velocity: v = u + at.
  • Step 5: Calculate the product of acceleration and time: at = 3 m/s² * 4 s = 12 m/s.
  • Step 6: Add the initial velocity to the product from Step 5: v = 2 m/s + 12 m/s = 14 m/s.
  • Step 7: The final velocity of the cyclist is 14 m/s.
  • Kinematics – The study of motion, specifically how velocity changes over time due to acceleration.
  • Equations of Motion – Using the equation v = u + at to calculate final velocity based on initial velocity, acceleration, and time.
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