Final Answer:
The time when the t-shirt hits the ground is t = 6. Since 3 < 6, the t-shirt will not hit the ground after 3 seconds.
Step-by-step explanation:
The function f(t) = -5t^2 + 20t + 60 models the height of an t-shirt t seconds after it is launched. The t-shirt will hit the ground when its height is 0. We can solve the equation f(t) = 0 to find the times when the t-shirt hits the ground.
f(t) = 0
-5t^2 + 20t + 60 = 0
-5(t^2 - 4t - 12) = 0
(t - 6)(t + 2) = 0
The solutions to the equation are t = 6 and t = -2. Since time cannot be negative, the only time when the t-shirt will hit the ground is t = 6. Since 3 < 6, the t-shirt will not hit the ground after 3 seconds.
This is not true-false question. The Complete question is:
- The function f(t) = -5t2+20t + 60 models the approximate height of an t-shirt t seconds after it is launched. Will the t-shirt hit the ground after 3 seconds?