Question

You are going to a Brooklyn nets game with your advisory. During a timeout, the performers are launching t shirts into the crowd! You are sitting in a balcony that is 64 feet above the ground, and you can see that a man is aiming the t-shirt gun right towards your section! The height of the t-shirt in feet can be modeled by the function h(t) = -16t + 80t, where t is the time in seconds since he shot the t-shirt.

A: is the performer launching the t-shirt from a platform or from the court (ground level)? How do you know?
B: After how many seconds will the shirt reach you? Explain whether your solution make sense in context

Answer 1

A: The performer is launching the t-shirt from the court (ground level). We can tell this because the initial height of the t-shirt is 0 feet when t = 0. The height of the t-shirt in feet can be modeled by the function h(t) = -16t^2 + 80t.

B: To find out when the shirt will reach you, we need to solve for t in the equation h(t) = 64. Substituting h(t) with 64, we get 64 = -16t^2 + 80t. Solving this quadratic equation, we get two solutions: t = 1 and t = 4. Since it doesn’t make sense for the shirt to reach you before it’s launched (t < 0), we can conclude that the shirt will reach you after 4 seconds.