An object is dropped from a height of 25 meters. At what velocity will it hit the ground?

A. 7.0 meters/second

B. 11 meters/second

C. 22 meters/second

D. 49 meters/second

E. 70 meters/second

we are given with an initial height of 25 meters in which the object is dropped freely from above. Hence teh kinematic equation that can be applied is 2ax = vf2 - v02 where a is the acceleration due to gravity and vo is equal to zero. Substiuting, vf is equal to C. 22 meters / second

Using kinematics, the variables we know are:

Acceleration (due to gravity) = 9.81m/s^2 [down]

distance = 25m

Vi = 0m/s

Since we don't know time we can use the equation:

Vf^2 = Vi^2 + 2ad

Vf^2 = 0^2 + (2) (-9.81) (-25)

Vf^2 = 490.5m/s

Vf = 22m/s