Question

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?

Answer 1

to Fine the second use this formula. t= - b/2a. To find the maximum height use the original formula. h(t)= -4.9T^2+19.6T+1.

the seconds are 2 seconds.

The maximum height is 20.6 meters

Answer 2

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.
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