To find the time it takes for the ball to reach its maximum height, we need to find the vertex of the parabolic function h(t)=-16t^2+64t+6. The x-coordinate of the vertex of a parabolic function in the form ax^2+bx+c is given by the formula x=-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
Therefore, it will take 2 seconds for the ball to reach its maximum height.
A baseball is thrown into the air and its trajectory can be modeled by the function h(t)=-16t^2+64t+6
. How long will it take the ball to reach its maximum height?
1 answer
1 answer