A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function h(t)=−4.9t^2+19.6t+1. How long does it take for the baseball to reach its maximum height? What is the maximum height obtained by the baseball?
For equations of the form h(t)= ax²+bx+c, the maximum height is given by the value -b/2a, which in this case would be -19.6/-9.8, or 2 seconds after being hit. The maximum height would be: h(t)=-4.9(4)+19.6(2)+1=20.6 m. ☺☺☺☺
