A body is thrown vertically upwards with a speed of 20 m/s. How high will it ris

Practice Questions

Q1
A body is thrown vertically upwards with a speed of 20 m/s. How high will it rise? (g = 10 m/s²)
  1. 20 m
  2. 40 m
  3. 30 m
  4. 10 m

Questions & Step-by-Step Solutions

A body is thrown vertically upwards with a speed of 20 m/s. How high will it rise? (g = 10 m/s²)
Correct Answer: 20 m
  • Step 1: Identify the initial speed (u) of the body, which is 20 m/s.
  • Step 2: Identify the final speed (v) at the highest point, which is 0 m/s (the body stops rising at the peak).
  • Step 3: Identify the acceleration due to gravity (g), which is 10 m/s² (this acts downwards).
  • Step 4: Use the formula v² = u² - 2gh to find the height (h).
  • Step 5: Substitute the values into the formula: 0 = (20)² - 2*10*h.
  • Step 6: Calculate (20)², which is 400.
  • Step 7: Rewrite the equation: 0 = 400 - 20h.
  • Step 8: Rearrange the equation to solve for h: 20h = 400.
  • Step 9: Divide both sides by 20 to find h: h = 400 / 20.
  • Step 10: Calculate h, which equals 20 m.
  • Kinematics – The study of motion, specifically how objects move under the influence of forces, including equations of motion.
  • Energy Conservation – The principle that energy cannot be created or destroyed, only transformed, which applies to the conversion of kinetic energy to potential energy in this scenario.
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