ANY number raised to the zero power is ' 1 '.
(This rule is worth memorizing. You'll amaze all of
your friends, especially the ones who don't know
how to do it without running to Google.)
So 5^0 = 1 .
h(t) is the height of the diver in feet above the water
Now it asks about the time at which diver reaches the water
When diver reaches the water , the height of diver from water should be zero
So we plug h(t) =0
So
divide whole equation by -16
we can now factor the quadratic equation
So we get
(t+4)(t-3) =0
plug each factor equal to zero and solve for t
t+4 =0 and t-3 =0
So t=-4 and t=3
Now time cannot be negative , So t=3
So time = 3 seconds
It takes 3 seconds for the diver to reach the water
The answer to Part A is 2 15/32