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A car travels at 6 m/s and reaches a velocity of 24 m/s in 6 seconds. Calculate its acceleration. 2. A...

1. A car travels at 6 m/s and reaches a velocity of 24 m/s in 6 seconds. Calculate its acceleration.
2. A cyclist is traveling at 4 m/s and accelerates for 3 seconds at an acceleration of 1 m/s². Calculate the cyclist's final velocity.
3. A train increases its velocity from 10 m/s to 30 m/s in 10 seconds. Calculate its acceleration.
4. A runner is moving at 2 m/s and reaches 6 m/s after 2 seconds. Calculate the runner's acceleration.
5. A bus starts from rest and accelerates at 1.8 m/s² for 4 seconds. Calculate its acceleration and final velocity.
6. A skateboarder is traveling at 2 m/s and reaches 8 m/s in 3 seconds. Calculate the skateboarder's acceleration.
7. A motorcycle increases its velocity from 12 m/s to 28 m/s over 4 seconds. Calculate its acceleration.
8. An airplane starts from rest and accelerates at 2 m/s² for 12 seconds. Calculate its final velocity.
9. A delivery truck is traveling at 6 m/s. After 5 seconds, its velocity increases to 21 m/s. Calculate its acceleration.
10. A soccer ball is kicked from rest and accelerates at 4 m/s² for 1 second. Calculate its final velocity.

Answer

  1. Acceleration = (Final velocity - Initial velocity) / Time = (24 m/s - 6 m/s) / 6 s = 3 m/s².

  2. Final velocity = Initial velocity + (Acceleration × Time) = 4 m/s + (1 m/s² × 3 s) = 7 m/s.

  3. Acceleration = (Final velocity - Initial velocity) / Time = (30 m/s - 10 m/s) / 10 s = 2 m/s².

  4. Acceleration = (Final velocity - Initial velocity) / Time = (6 m/s - 2 m/s) / 2 s = 2 m/s².

  5. Final velocity = Initial velocity + (Acceleration × Time) = 0 m/s + (1.8 m/s² × 4 s) = 7.2 m/s.

  6. Acceleration = (Final velocity - Initial velocity) / Time = (8 m/s - 2 m/s) / 3 s = 2 m/s².

  7. Acceleration = (Final velocity - Initial velocity) / Time = (28 m/s - 12 m/s) / 4 s = 4 m/s².

  8. Final velocity = Initial velocity + (Acceleration × Time) = 0 m/s + (2 m/s² × 12 s) = 24 m/s.

  9. Acceleration = (Final velocity - Initial velocity) / Time = (21 m/s - 6 m/s) / 5 s = 3 m/s².

  10. Final velocity = Initial velocity + (Acceleration × Time) = 0 m/s + (4 m/s² × 1 s) = 4 m/s.

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