Adolphin jumps out of the water with
an initial velocity of 20 feet per second.
the dolphin's height, h, after t seconds
of time can be modeled by the
equation:
h(t) = -16t2 + 20t.
determine how long it took for the
dolphin to return to the water.

Step-by-step explanation:

we have

where

t is the time in seconds

h is the dolphin's height in feet

we know that

When the dolphin return to the water the value of h(t) is equal to zero

so

For h(t)=0

Simplify

see the attached figure to better understand the problem

a negative exponent is translated as follows:

so, we have

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step-by-step explanation:

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