A toy rocket is launched straight up from the top of a building. The function that models the height as a function of time is h(t)=-16t^2+200t+50
At what time will the rocket reach the maximum height?
A toy rocket is launched straight up from the top of a building. The function that models the height as a function of time is
. At what time will the rocket reach the maximum height?
To find the time at which the rocket reaches the maximum height, we need to find the vertex of the parabolic function h(t)=-16t^2+200t+50.
The vertex of a parabola in the form y=ax^2+bx+c is given by the equation x=-b/(2a).
In this case, a=-16 and b=200. Plugging these values into the equation, we get:
t = -200 / (2 * -16)
t = -200 / -32
t = 6.25
Therefore, the rocket will reach the maximum height at t=6.25 seconds.