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A train starts from rest and reaches a velocity of 20 m/s in 10 seconds. What is the train's acceleration?

A train starts from rest and reaches a velocity of 20 m/s in 10 seconds. What is the train's acceleration?
Hint: Starting from rest means the initial velocity is 0 m/s.
4. A Soccer Ball Is Kicked
A soccer ball initially moves at 2 m/s. After being kicked, its velocity increases to 14 m/s in 3 seconds. What is the ball's acceleration?
5. A Motorcycle Accelerates
A motorcycle is traveling at 8 m/s. The rider accelerates, and the motorcycle reaches 28 m/s after 5 seconds. Calculate its acceleration.
6. A Bus Slows Down
A bus is moving at 24 m/s. The driver applies the brakes, and the bus slows to 12 m/s in 6 seconds. What is the bus's acceleration?
Hint: When an object slows down, its acceleration is negative if it continues moving in the same direction.
7. A Skateboarder Slows Down
A skateboarder is moving at 10 m/s. After applying the brakes, the skateboarder's velocity decreases to 4 m/s in 3 seconds. What is the skateboarder's acceleration?
8. An Airplane Takes Off
An airplane begins its takeoff roll from rest and reaches a velocity of 60 m/s in 12 seconds. What is the airplane's average acceleration during this time?

Answer

Use acceleration = (final velocity − initial velocity) / time.

  1. Train: a = (20 − 0) / 10 = 2 m/s².
  2. Soccer ball: a = (14 − 2) / 3 = 4 m/s².
  3. Motorcycle: a = (28 − 8) / 5 = 4 m/s².
  4. Bus: a = (12 − 24) / 6 = −2 m/s².
  5. Skateboarder: a = (4 − 10) / 3 = −2 m/s².
  6. Airplane: a = (60 − 0) / 12 = 5 m/s².

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