Question
LeBron James is practicing his basketball dribbling skills during the off-season. He determines that approximately 0.6 seconds elapse between bounces. What is the height of the basketball bounce in meters?
Answers
GPT 3.5
To find the height of the basketball bounce, we need to use the equation for the height of an object in free fall:
h = (1/2) * g * t^2
Where:
h = height of the bounce
g = acceleration due to gravity = 9.8 m/s^2
t = time between bounces = 0.6 seconds
Plugging in the values, we get:
h = (1/2) * 9.8 * (0.6)^2
h = (1/2) * 9.8 * 0.36
h = 4.9 * 0.36
h = 1.764 meters
Therefore, the height of the basketball bounce is approximately 1.764 meters.
h = (1/2) * g * t^2
Where:
h = height of the bounce
g = acceleration due to gravity = 9.8 m/s^2
t = time between bounces = 0.6 seconds
Plugging in the values, we get:
h = (1/2) * 9.8 * (0.6)^2
h = (1/2) * 9.8 * 0.36
h = 4.9 * 0.36
h = 1.764 meters
Therefore, the height of the basketball bounce is approximately 1.764 meters.