a frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It is determined that the height of the frog as a function of time can by modeled by h(t)=-16t^2+64t+3
. When does the frog reach the maximum height?
To find when the frog reaches the maximum height, we need to find the vertex of the parabolic function h(t)=-16t^2+64t+3.
The formula for finding the x-coordinate of the vertex of a parabola in the form h(t)=at^2+bt+c is given by t = -b/(2a).
In this case, a = -16 and b = 64. Plugging these values into the formula, we get:
t = -64 / (2*-16)
t = -64 / -32
t = 2
So, the frog reaches the maximum height after 2 seconds.