Understanding the Physics
* Gravity: The ball experiences a constant downward acceleration due to gravity (approximately 9.8 m/s²).
* Symmetry: The time it takes for the ball to reach its highest point is equal to the time it takes to fall back down.
Calculations
1. Finding the time to reach the highest point:
* We can use the following kinematic equation: v = u + at
* v = final velocity (0 m/s at the highest point)
* u = initial velocity (20 m/s)
* a = acceleration due to gravity (-9.8 m/s²)
* t = time
* 0 = 20 - 9.8t
* t = 20 / 9.8 ≈ 2.04 seconds
2. Total time in the air:
* Since the upward and downward times are equal, the total time in the air is:
* 2.04 seconds (up) + 2.04 seconds (down) = 4.08 seconds
Therefore, the ball will be in the air for approximately 4.08 seconds.
