Question

A ball is dropped from the top of the Washington Monument which is 555 feet high.

a) How long will it take for the ball to hit the ground?
b) Find the ball's speed at impact.

this is calculus terms, not physics.​

Answer 1

Time taken t = 5.88 sec (Approx)

Final velocity v = 188.46 ft/s (Approx)

Explanation:

Given:

Height h = 555 ft

Initial velocity u = 0 ft/s

Gravitational acceleration g = 32 ft/s²

Computation:

h = ut + 1/2(gt²)

555 = 1/2(30)(t²)

Time taken t = 5.88 sec (Approx)

Final velocity v = u + at

Final velocity v = (32)(5.88)

Final velocity v = 188.46 ft/s (Approx)