# If Alvin Jumps off a Cliff into a Lake, How High is the Cliff?

A) 14 m

B) 38 m

C) 77 m

D) 27 m The height of the cliff is 38 meters.

## Calculating the Height of the Cliff

**To calculate the height of the cliff, we can use the formula for free fall motion: h = (1/2)gt^2.**

Given:

Time (t) = 2.8 seconds

Acceleration due to gravity (g) = 9.8 m/s^2

Plugging in the values:

h = (1/2)(9.8)(2.8)^2

Calculating:

h = (1/2)(9.8)(7.84)

**h = 38 meters**

Therefore, the height of the cliff is 38 meters.