The height of a baseball t seconds after it is hit up in the air is given by h=-9t2+52t+3. What is the maximum height of the ball?
I also need to know:
What is the y-intercept of the ball's path in the problem above AND what is its meaning in the problem?
How long was the ball in the air in the problem above?
+33615 "The height of a baseball t seconds after it is hit up in the air is given by h=-9t2+52t+3. What is the maximum height of the ball?
I also need to know:
What is the y-intercept of the ball's path in the problem above AND what is its meaning in the problem?
How long was the ball in the air in the problem above?"
+36916 Max height t is also given by -b/2a of the quadratic equation> -52/(-18) = t = 2.889 sec
h(max) = -9 (2.889)^2 + 52(2.889) + 3 = 78.11 (feet?)
Y intercept is initial height of ball when t = 0 -9(0^2) +52(0) +3 = 3 (feet?)
As Alan showed, time in the air ends when h= 0 0 = -9(t^2)+52t+3 Using Quadratic Equation t = 5.835 sec
