Problema Solution
a t-shirt is launched from a height of 6 feet with an intial upward volecity of 72 feet per second. the t-shirt is caught 48 feet above the feild. how long will it take for the tshirt to reach its maximum height
Answer provided by our tutors
Acceleration due to gravity: -32t^2
Initial position: 6 feet
Trajectory: -32t^2 + 72t + 6
Differentiate with respect to t and set to 0 to find time at which maximum height is reached:
-64t + 72 = 0
64t = 72
t = 1.125 seconds
After 1.125 seconds: -32(1.125)^2 + 72(1.125) + 6 = 46.5
The t-shirt will reach its maximum height of 46.5 feet after 1.125 seconds.