Calculus Method
Calculus is a valuable tool that can be used to help determine which shutter speed a photographer should use. Like discussed earlier, the position function for this problem is: s(t) = -16t^2 + 95.333t + 5. Finding the derivative of this function gives the equation:
s'(t) = -32t +95.333. This equation can be used to find the instantaneous velocity of the ball. If the photographer wants to capture the pitch at 1.5 seconds they would plug that into the equation and get: s'(1.5) = 47.333 feet per second. They would then adjust their shutter speed accordingly.
s'(t) = -32t +95.333. This equation can be used to find the instantaneous velocity of the ball. If the photographer wants to capture the pitch at 1.5 seconds they would plug that into the equation and get: s'(1.5) = 47.333 feet per second. They would then adjust their shutter speed accordingly.