PLEASE HELPPP!!!! WILL GIVE BRAINLIEST!!!h(t)=−16t^2+28tThe 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.
Accepted Solution
A:
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).