Question

How long would it take for a ball dropped from the top of a 484-foot building to hit the ground? round your answer to two decimal places?

Answer 1

First, convert the ft to standard units of meters.
1 foot = 0.3048 meters
Therefore,
484 ft = 147.5232 meters

Then, we will use the laws of motion to calculate the time:
x = 0.5 at^2
where:
x is the displacement
a is the gravity (9.8 m/sec^2)
t is the time taken
Substitute in the equation with the givens to calculate the time as follows:
147.5232 = (0.5 x 9.8) t^2
t^2 = 147.5232 / (0.5 x 9.8)
t^2 = 30.11 seconds
t = 5.49