A baseball is hit at a point 2 feet above the ground at a velocity of 100 feet per second and at an angle of 45 degrees with respect to the ground. The path of the baseball is given by the function: f(x)= -0.0032x^2+x+2.

Question

A baseball is hit at a point 2 feet above the ground at a velocity of 100 feet per second and at an angle of 45 degrees with respect to the ground. The path of the baseball is given by the function: f(x)= -0.0032x^2+x+2.
where f(x) is the height of the baseball in feet and x is the horizontal distance from home plate in feet. What is the maximum height reached by the baseball?

Steve · Answer

recall that the vertex of a parabola is at x = -b/2a, which in this case is x = 1/.0064 = 156.25 so, just find f(156.25)