Question

A penguin drops a fish off a cliff and times how long it takes for the fish to land at the bottom of the cliff. Neglecting air resistance, how high is the cliff if it

takes 9.2 seconds for the fish to land at the bottom of the clift? Give the answer in feet.

Answer 1

1360.3ft

Step-by-step explanation:

Given parameters:

Time taken for the fish to land = 9.2s

Unknown:

Height of the cliff = ?

Solution:

To solve this problem, we use one of the kinematics equation:

S = Ut +
`(1)/(2)` g t²

S is the height

U is the initial velocity = 0m/s

g is the acceleration due to gravity = 9.8m/s²

t is the time taken

So;

S = (0 x 9.2) + (
`(1)/(2)` x 9.8 x 9.2²) = 414.7m

1m = 3.28ft

414.7m = 414.7 x 3.28 = 1360.3ft