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.

1360.3ft

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  + 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)  + ( x 9.8 x 9.2²)   = 414.7m

            1m  = 3.28ft

       414.7m  = 414.7 x 3.28 = 1360.3ft

the area between the graph and the t axis

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