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A 10 kg object is thrown vertically upward with a speed of 20 m/s. What is the m

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Question: A 10 kg object is thrown vertically upward with a speed of 20 m/s. What is the maximum height reached by the object? (g = 10 m/s²) (2020)

Options:

  1. 20 m
  2. 30 m
  3. 40 m
  4. 50 m

Correct Answer: 30 m

Exam Year: 2020

Solution: 

Using the formula h = v² / (2g), h = (20 m/s)² / (2 * 10 m/s²) = 20 m.

A 10 kg object is thrown vertically upward with a speed of 20 m/s. What is the m

Practice Questions

Q1
A 10 kg object is thrown vertically upward with a speed of 20 m/s. What is the maximum height reached by the object? (g = 10 m/s²) (2020)
  1. 20 m
  2. 30 m
  3. 40 m
  4. 50 m

Questions & Step-by-Step Solutions

A 10 kg object is thrown vertically upward with a speed of 20 m/s. What is the maximum height reached by the object? (g = 10 m/s²) (2020)
  • Step 1: Identify the initial speed (v) of the object, which is 20 m/s.
  • Step 2: Identify the acceleration due to gravity (g), which is 10 m/s².
  • Step 3: Use the formula for maximum height (h) reached by an object thrown upward: h = v² / (2g).
  • Step 4: Substitute the values into the formula: h = (20 m/s)² / (2 * 10 m/s²).
  • Step 5: Calculate (20 m/s)², which equals 400 m²/s².
  • Step 6: Calculate 2 * 10 m/s², which equals 20 m/s².
  • Step 7: Divide 400 m²/s² by 20 m/s² to find h: h = 400 m²/s² / 20 m/s² = 20 m.
  • Step 8: Conclude that the maximum height reached by the object is 20 meters.
  • 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 – The principle that energy cannot be created or destroyed, only transformed from one form to another, which applies to the conversion of kinetic energy to potential energy in this scenario.
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