Get it on Google Play Get it on Apple Store
how long would it take for a ball dropped from the top of a 144 foot building to hit the ground
As an object falls, its speed increases because it’s being pulled on by gravity.
The acceleration of gravity near the earth is g = 32.2 feet/sec^2.
The formula for T = time of the fall is
T = (2d/g)^0.5
where d = 1440 foot and g = 32.2 feet/sec^2
T = (2*1440/32.2)^0.5
T = 9.457 sec approximately.
The ball will hit the ground in approximately 9.457 seconds.
Kim O.
1 Expert Answer
To solve this problem you need the function v0 is the initial velocity, which in our case is 0 h0 = initial height, which in our case is 256 h(t) = 0 since we want to know when the ball will hit the ground. If we rearrange the terms we see that this is a difference of 2 squares The second solution is discarded as time cannot be negative. So the ball will hit the ground in 4 seconds.
You can put this solution on YOUR website!
16t^2 = 196 t^2 = 196/16 t^2 = 12.25 t = sqrt(12.25) t = 3.5
So roughly 3.5 seconds