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
Answer:
199/25
Step-by-step explanation:
The maximum height is 144 feet.
The maximum height is the y-coordinate of the vertex. To find the vertex, we first use x = -b/2a. For our information, that is x=-64/2(-16) = -64/-32 = 2.
Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
3y (y is the unknown number but it represents one number only... and also 3y represents 3 multiply by y)