Understanding the Physics
* Gravity: The ball slows down as it travels upwards because of gravity's downward pull.
* Acceleration due to Gravity: The acceleration due to gravity (g) is approximately 9.8 m/s². This means the ball's upward velocity decreases by 9.8 meters per second every second.
Calculations
1. Initial Velocity: v₀ = 20 m/s
2. Final Velocity: v = 0 m/s (when the ball momentarily stops at its highest point)
3. Acceleration: a = -9.8 m/s² (negative because gravity acts downwards)
We can use the following kinematic equation:
v = v₀ + at
Where:
* v = final velocity
* v₀ = initial velocity
* a = acceleration
* t = time
Solving for Time (t):
0 = 20 + (-9.8)t
9.8t = 20
t = 20 / 9.8
t ≈ 2.04 seconds
Therefore, it will take approximately 2.04 seconds for the ball to reach zero speed.