A stone is thrown vertically upward with a speed of 20 m/s. How long will it tak

Practice Questions

Q1
A stone is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height? (g = 10 m/s²)
  1. 1 s
  2. 2 s
  3. 3 s
  4. 4 s

Questions & Step-by-Step Solutions

A stone is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height? (g = 10 m/s²)
  • Step 1: Identify the initial speed (u) of the stone, which is 20 m/s.
  • Step 2: Recognize that at the maximum height, the final speed (v) of the stone will be 0 m/s.
  • Step 3: Use the formula v = u - gt, where g is the acceleration due to gravity (10 m/s²) and t is the time in seconds.
  • Step 4: Substitute the known values into the formula: 0 = 20 - 10t.
  • Step 5: Rearrange the equation to solve for t: 10t = 20.
  • Step 6: Divide both sides by 10 to find t: t = 20 / 10.
  • Step 7: Calculate the result: t = 2 seconds.
  • Kinematics – The study of motion, specifically how objects move under the influence of forces, including the equations of motion for objects in free fall.
  • Acceleration due to Gravity – Understanding that objects in free fall experience a constant acceleration downwards, typically denoted as 'g'.
  • Maximum Height in Projectile Motion – The point at which the vertical velocity of the object becomes zero before it starts descending.
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