Horizontal distance traveled by a projectile fired from the ground can be modeled by d= (v^2sin2x)/g, where v is initial velocity, x is the angle in degrees, and g is acceleration due to gravity. (This model neglects air resistance and assumes a flat surface)
a) A baseball is hit at an initial height of 5 feet with initial velocuty of 100 ft/s at 40 degrees to the ground. Will the ball clear a 5 ft fence 310 ft. from home plate?
b) What angle will maximize the horizontal distance traveled and why?
c) Will the baseball clear the fence if hit at the angle from part (b) above?
The Attempt at a Solution
a) I dont get how it gives you an initial height of a fence, when height isn;t even mentioned in the given equation?
b) (v^2sin2x)/g = 310
sin2x = 310 *9.81 / 100^2
sinx = 540
x = 21.4 degrees