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h(t)=−16t^2+28t

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

02-05-2018
Mathematics

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PLEASE HELPPP!!!! WILL GIVE BRAINLIEST!!!

h(t)=−16t^2+28t

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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Аноним Аноним · Answer 1 · 2018-05-04T01:59:35+02:00

We find the zeros of h(t), which is where the height is 0. When the height is zero, the dolphin will be in the water.
Set h(t) = 0
0=-16t^2+28t
Factor out -4t:
0= -4t(4t - 7)
The zeros, by zero factor property we set every factor to zero and combine solutions

t = 0 .. or ... 4t - 7 = 0
t = 0 .. or ... 4t = 7
t = 0 .. or ... t = 7/4
t = 0 .. or ... t = 1.75

since h(t)=−16t^2+28t is a parabola that opens down the dolphin gets out of the water at t = 0 and then gets back in at t = 1.75 (the vertex of their height is in between).

The total length is 1.75 seconds

PLEASE HELPPP!!!! WILL GIVE BRAINLIEST!!! h(t)=−16t^2+28t 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.

Respuesta :

Otras preguntas

PLEASE HELPPP!!!! WILL GIVE BRAINLIEST!!!

h(t)=−16t^2+28t

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.