A ball is thrown vertically upwards with a speed of 15 m/s. How high will it ris

Practice Questions

Q1
A ball is thrown vertically upwards with a speed of 15 m/s. How high will it rise before coming to a stop? (2023)
  1. 11.25 m
  2. 15 m
  3. 22.5 m
  4. 30 m

Questions & Step-by-Step Solutions

A ball is thrown vertically upwards with a speed of 15 m/s. How high will it rise before coming to a stop? (2023)
Correct Answer: 11.25 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 approximately 9.8 m/s².
  • Step 3: Use the formula for height: height = (initial velocity^2) / (2 * g).
  • Step 4: Substitute the initial velocity (15 m/s) into the formula: height = (15^2) / (2 * 9.8).
  • Step 5: Calculate 15^2, which is 225.
  • Step 6: Calculate 2 * 9.8, which is 19.6.
  • Step 7: Divide 225 by 19.6 to find the height: height = 225 / 19.6.
  • Step 8: Perform the division to get the height, which is approximately 11.25 m.
  • Kinematics – The study of motion, specifically how objects move under the influence of forces, including the equations of motion for objects in free fall.
  • Energy Conservation – Understanding that the kinetic energy of the ball is converted into potential energy at the highest point of its trajectory.
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