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Physics Asked by a SnapAndSolve user · about 2 hours ago

A Soccer Ball is Kicked A soccer ball initially moves at 2 m/s. After being kicked, its velocity increases...

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 7 seconds. What is the bus's acceleration?
7. A Skateboarder Slows Down
A skateboarder is moving at 10 m/s. After applying the brakes, the skateboarder's velocity decreases to 3 m/s in 5 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 80 m/s in 12 seconds. What is the airplane's average acceleration during this time?

Answer

  1. The ball's acceleration is calculated using the formula: a = (v_f - v_i) / t. Here, v_i = 2 m/s, v_f = 14 m/s, and t = 3 s. Thus, a = (14 m/s - 2 m/s) / 3 s = 4 m/s².

  2. The motorcycle's acceleration is calculated using the formula: a = (v_f - v_i) / t. Here, v_i = 8 m/s, v_f = 28 m/s, and t = 5 s. Thus, a = (28 m/s - 8 m/s) / 5 s = 4 m/s².

  3. The bus's acceleration is calculated using the formula: a = (v_f - v_i) / t. Here, v_i = 24 m/s, v_f = 12 m/s, and t = 7 s. Thus, a = (12 m/s - 24 m/s) / 7 s = -1.71 m/s².

  4. The skateboarder's acceleration is calculated using the formula: a = (v_f - v_i) / t. Here, v_i = 10 m/s, v_f = 3 m/s, and t = 5 s. Thus, a = (3 m/s - 10 m/s) / 5 s = -1.4 m/s².

  5. The airplane's average acceleration is calculated using the formula: a = (v_f - v_i) / t. Here, v_i = 0 m/s, v_f = 80 m/s, and t = 12 s. Thus, a = (80 m/s - 0 m/s) / 12 s = 6.67 m/s².

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