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A ball is thrown vertically upwards with a speed of 15 m/s. What is the maximum

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Question: A ball is thrown vertically upwards with a speed of 15 m/s. What is the maximum height it reaches? (g = 9.8 m/s²)

Options:

  1. 11.5 m
  2. 15.0 m
  3. 22.5 m
  4. 30.0 m

Correct Answer: 11.5 m

Solution: 

Using the formula h = v² / (2g), h = (15 m/s)² / (2 × 9.8 m/s²) = 11.5 m.

A ball is thrown vertically upwards with a speed of 15 m/s. What is the maximum

Practice Questions

Q1
A ball is thrown vertically upwards with a speed of 15 m/s. What is the maximum height it reaches? (g = 9.8 m/s²)
  1. 11.5 m
  2. 15.0 m
  3. 22.5 m
  4. 30.0 m

Questions & Step-by-Step Solutions

A ball is thrown vertically upwards with a speed of 15 m/s. What is the maximum height it reaches? (g = 9.8 m/s²)
Correct Answer: 11.5 m
  • Step 1: Identify the initial speed of the ball, which is 15 m/s.
  • Step 2: Identify the acceleration due to gravity, which is 9.8 m/s².
  • Step 3: Use the formula for maximum height, h = v² / (2g).
  • Step 4: Substitute the values into the formula: h = (15 m/s)² / (2 × 9.8 m/s²).
  • Step 5: Calculate (15 m/s)², which equals 225 m²/s².
  • Step 6: Calculate 2 × 9.8 m/s², which equals 19.6 m/s².
  • Step 7: Divide 225 m²/s² by 19.6 m/s² to find h.
  • Step 8: The result is approximately 11.5 m, which is the maximum height.
  • Kinematics – The question tests the understanding of the kinematic equations related to motion under constant acceleration, specifically the calculation of maximum height in projectile motion.
  • Energy Conservation – It also touches on the concept of energy conservation, where the kinetic energy at the start is converted to potential energy at the maximum height.
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