Understanding the Concepts
* Free Fall: The stone is moving under the influence of gravity alone.
* Acceleration due to Gravity (g): This is a constant value of approximately 9.8 m/s² downward.
* Kinematic Equations: We can use these equations to relate displacement, velocity, acceleration, and time.
The Solution
1. Identify the knowns:
* Final velocity (v) = 0 m/s (at the highest point, the stone momentarily stops)
* Displacement (Δy) = 20 m
* Acceleration (a) = -9.8 m/s² (negative since gravity acts downward)
2. Choose the appropriate kinematic equation: We'll use the following equation:
v² = u² + 2aΔy
Where:
* u = initial velocity (what we want to find)
* v = final velocity
* a = acceleration
* Δy = displacement
3. Plug in the values and solve for 'u':
0² = u² + 2(-9.8 m/s²)(20 m)
0 = u² - 392
u² = 392
u = √392 ≈ 19.8 m/s
Answer: The stone was thrown upward with a speed of approximately 19.8 m/s.