Question
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?
. How long will it take the ball to reach its maximum height?
Answers
GPT 3.5
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.
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.