Answer:
She reaches her maximum height after 0.25 seconds
Explanation:
The question is not properly structured and the equation is also incorrect. Here is the correct question.
You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h= -4t²+ 2t models her jump where h is her jumps height in feet t seconds after the mummy scares her. When did she reach her maximum.
Give the equation h= -4t²+ 2t that models my friend jump where h is her jumps height in feet t seconds, At maximum height, her velocity will be zero i.e
Vmax = 0m/s
Velocity is the rate of change in distance of a body i.e V = dh/dt
Given h= -4t²+ 2t
V = dh/dt = -8t+2
Since v = 0m/s
0 = -8t+2
-8t = -2
t = -2/-8
t = 0.25 secs
She reaches her maximum height after 0.25 seconds