Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when it falls back to a height of 4 feet. The height of the ball is given by h = - 16x^2 + 6t + 5 where in seconds How much time will pass before Jon hits the ball? What is the maximum height the ball attains?
h = 4 = -16t^2 + 6t + 5
0 = -16t^2+6t +1 Use Quadratic formula to find t = .5 s or -.125 (throw out)
max = - b/2a = -6/-32 = .1875 sec
-16(.1875^2) + 6 (.1875) + 5 = 5.56 ft
Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when it falls back to a height of 4 feet. The height of the ball is given by h = - 16x^2 + 6t + 5 where in seconds How much time will pass before Jon hits the ball? What is the maximum height the ball attains?