Question
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?
. When does the frog reach the maximum height?
Answers
GPT 3.5
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.
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.