SOLUTION: At a baseball game, workers toss T-shirts to spectators in the stands out of a sling-shot. The height of a T-shirt is modelled by the function h(t)=-5t^2+20t+1 where h(t) is height
Question 1137558: At a baseball game, workers toss T-shirts to spectators in the stands out of a sling-shot. The height of a T-shirt is modelled by the function h(t)=-5t^2+20t+1 where h(t) is height in metres and t is the time in seconds after the toss.
What is the maximum height of the T-shirt if it is not caught?
How much time does it take the T-shirt to reach maximum height? Answer by ikleyn(52780) (Show Source):
It is about the maximum value of a quadratic function.
The quadratic function f(x) = ax^2 + bx + c of the general form with the negative leading coefficient a < 0
has the maximum value at x = .
In this case, the maximum height is achieved at t = = = 2 seconds. ANSWER
The maximum height is equal to the value of the given function h(t) at t= 2 :
= = -20 + 40 + 1 = 21 meters. ANSWER
All questions are answered and the problem is solved.
