A baseball is dropped from a tall building and takes 4.1 seconds to hit the ground. From what height was the ball dropped?
h=gt²/2
h = (1/2) g t^2
= .5 * 9.81 *4.1^2
= 82.45 m
check
how long to fall from 82.4 m
82.45 = (1/2) (9.81) t^2
t = 4.1 s check
To determine the height from which the baseball was dropped, we can use the kinematic equation for free fall:
h = (1/2) * g * t^2
where:
h = height
g = acceleration due to gravity (approximately 9.8 m/s^2 on Earth)
t = time
In this case, the time (t) is given as 4.1 seconds. Plugging this into the equation, we can solve for the height (h).
h = (1/2) * (9.8 m/s^2) * (4.1 s)^2
h = 80.990 m
Therefore, the ball was dropped from a height of approximately 80.990 meters.