Question

A diver is standing on a spring board 48 feet above the pool. She jumps from the platform with an
initial upward velocity of 8 feet /second. Use the formula d(t)= -16(2t - 3)(t+1), where d is the
height of the diver above the water and t is the time in seconds. How long will it take for her to hit
the water?

Answer 1

It will take the diver 1.5seconds for her to hit the water

Linear equations

Linear equations are equation that has a leading degree of 2. Given the expression that expresses the distance covered by the diver as a function of time as shown;

d(t)= -16(2t - 3)(t+1)

where;

d is the height of the diver above the water and;

t is the time in seconds.

Given the following

d = 0 (the distance on the ground)

Substitute into the formula below;

-16(2t - 3)(t+1)= 0

Divide through by -16

(2t - 3)(t+1) = 0

Determine the time

2t - 3 = 0

t = 3/2

Similarly;

t +1 = 0
t = -1

Hence it will take the diver 1.5seconds for her to hit the water

Learn more on zero of an equation here: https://brainly.com/question/20896994

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