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A ball is thrown horizontally from the top of a cliff with a speed of 15 m/s. If

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Question: A ball is thrown horizontally from the top of a cliff with a speed of 15 m/s. If the cliff is 45 m high, how far from the base of the cliff will the ball land?

Options:

  1. 30 m
  2. 45 m
  3. 60 m
  4. 75 m

Correct Answer: 60 m

Solution: 

Time to fall = √(2h/g) = √(2*45/10) = 3 s. Horizontal distance = speed * time = 15 m/s * 3 s = 45 m.

A ball is thrown horizontally from the top of a cliff with a speed of 15 m/s. If

Practice Questions

Q1
A ball is thrown horizontally from the top of a cliff with a speed of 15 m/s. If the cliff is 45 m high, how far from the base of the cliff will the ball land?
  1. 30 m
  2. 45 m
  3. 60 m
  4. 75 m

Questions & Step-by-Step Solutions

A ball is thrown horizontally from the top of a cliff with a speed of 15 m/s. If the cliff is 45 m high, how far from the base of the cliff will the ball land?
  • Step 1: Identify the height of the cliff, which is 45 meters.
  • Step 2: Use the formula to find the time it takes for the ball to fall. The formula is time = √(2h/g), where h is the height and g is the acceleration due to gravity (approximately 10 m/s²).
  • Step 3: Plug in the values: time = √(2 * 45 / 10).
  • Step 4: Calculate the value inside the square root: 2 * 45 = 90, and then 90 / 10 = 9.
  • Step 5: Find the square root of 9, which is 3 seconds. This is the time it takes for the ball to hit the ground.
  • Step 6: Now, calculate how far the ball travels horizontally while it is falling. Use the formula: horizontal distance = speed * time.
  • Step 7: The speed of the ball is 15 m/s, and we found the time to be 3 seconds. So, horizontal distance = 15 m/s * 3 s.
  • Step 8: Calculate the horizontal distance: 15 * 3 = 45 meters.
  • Projectile Motion – The problem involves analyzing the motion of a projectile (the ball) that is thrown horizontally, requiring an understanding of both vertical and horizontal motion components.
  • Kinematics – The use of kinematic equations to determine the time of flight based on the height of the cliff and the calculation of horizontal distance using constant speed.
  • Gravity – Understanding the effect of gravitational acceleration on the vertical motion of the ball as it falls.
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