177k views
8 votes
The formula v=√ 2gh gives the velocity v, in feet per second, of an object when it falls h feet accelerated by gravity g, in feet per second squared. If g is approximately 32 feet per second squared, find how far an object has fallen if its velocity is 48 feet per second.

User Hopper
by
7.6k points

1 Answer

1 vote

Hi there!


\large\boxed{36 \text{ feet}}

v = √2gh

Plug in the given velocity and acceleration due to gravity:

48 = √2(32)h

Square both sides:

2304 = 2(32)h

Simplify:

2304 = 64h

Divide both sides by 64:

h = 36 feet.

User Sculper
by
7.6k points