Question

PLS HELP IM GIVING AWAY 50 POINTS

A diver jumps from a diving board that is 24 feet above the water.
The height of the diver is given by:
h=-16(t-1.5)(t+1)
Where the height h is measured in feet, and the time t is measured in seconds. When will the diver hit the water? Can you see a quick way to find the answer? EXPLAIN

Answer 1

Answer:

t =1.5 seconds

h =0 ft

Step-by-step explanation:

h=-16(t-1.5)(t+1)

this function crosses the t axis when the diver hits the water

set the equation equal to 0

0=-16(t-1.5)(t+1)

divide by -16

0 =(t-1.5)(t+1)

we can use the zero product property to find when this happens

t-1.5 =0   t+1 =0

t = 1.5   t= -1

time cannot be negative

t =1.5 seconds

the height will be 0 when the diver hits the water