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

What is the height of the cliff if it took Alvin 2.8 seconds to hit the water after jumping off 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.

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