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?
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.
To find the height of the basketball bounce, we can use the kinematic equation for vertical motion:
h = (gt^2) / 8
where:
h = height of the bounce
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time for one complete bounce (0.6 seconds)
Plugging in the values:
h = (9.8 * 0.6^2) / 8
h = (9.8 * 0.36) / 8
h = 3.528 / 8
h ≈ 0.441 meters
Therefore, the height of LeBron James' basketball bounce is approximately 0.441 meters.
To find the height of the basketball bounce, we need to use the equation for the height of an object thrown upwards and then falling back down. The equation is:
h = (1/2) * g * t^2
Where:
h = height of the bounce
g = acceleration due to gravity (approximately 9.8 m/s^2 on Earth)
t = time it takes for the ball to reach its peak height and fall back down
In this case, the time between bounces is given as approximately 0.6 seconds.
To find the height, we first need to determine the time it takes for the ball to reach its peak height and fall back down, which would be half of the total time between bounces. So:
t = 0.6 seconds / 2 = 0.3 seconds
Now we can substitute the values into the equation:
h = (1/2) * (9.8 m/s^2) * (0.3 seconds)^2
Simplifying:
h = (1/2) * 9.8 * 0.09
h = 0.5 * 9.8 * 0.09
h = 4.41 meters
Therefore, the height of the basketball bounce is approximately 4.41 meters.