H (t) = - 16t2+28t (first 2 is an exponet)

The function h (t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time, in seconds. What is the total length of time, in seconds, it took the dolphin to complete one jump? Show your work.

Question

Mathematics

Hanna Becker

8 September, 23:11

H (t) = - 16t2+28t (first 2 is an exponet)

The function h (t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time, in seconds. What is the total length of time, in seconds, it took the dolphin to complete one jump? Show your work.

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Answers (1)

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Kaeden Conway · Answer 1

It takes 1.75 seconds.

We want to know when the dolphin hits the water again. We set h (t) = 0 to do this:

0 = - 16t² + 28t

We will factor out the GCF:

0 = 4t (-4t+7)

Using the zero product property, we know that either 4t=0 or - 4t+7=0:

4t=0

Divide both sides by 4:

4t/4 = 0/4

t = 0

This is when the dolphin first jumps.

-4t+7=0

Subract 7 from both sides:

-4t = - 7

Divide both sides by - 4:

-4t/-4 = - 7/-4

t = 7/4 = 1.75

H (t) = - 16t2+28t (first 2 is an exponet)The function h (t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time, in seconds. What is the total length of time, in seconds, it took the dolphin to complete one jump? Show your work.

H (t) = - 16t2+28t (first 2 is an exponet)

The function h (t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time, in seconds. What is the total length of time, in seconds, it took the dolphin to complete one jump? Show your work.