Use the vertical motion model [math]h=-16t^2+vt+s[/math], where [i]h[/i] is the height (in feet), [i]t[/i] is the time in motion (in seconds), [i]v[/i] is the initial velocity (in feet per second), and s is the initial height (in feet). Solve by factoring.
A gymnast dismounts the uneven parallel bars at a height of [b]8[/b] feet with an initial upward velocity of [b]8[/b] feet per second. Find the time [i][b]t[/b][/i] (in seconds) it takes for the gymnast to reach the ground. Is your answer reasonable?
An acrobat is shot out of a cannon and lands in a safety net that is [b]10[/b] feet above the ground. Before being shot out of the cannon, she was [b]4[/b] feet above the ground. She left the cannon with an initial upward velocity of [b]50[/b] feet per second. Find the time [b][i]t[/i][/b] (in seconds) it takes for her to reach the net. Explain why only one of the two solutions is reasonable.
At a basketball game, T-shirts are rolled up into a ball and shot from a "T-shirt cannon" into the crowd. The T-shirts are released from a height of [b]6[/b] feet with an initial upward velocity of [b]44[/b] feet per second. If you catch a T-shirt at your seat [b]30[/b] feet above the court, how long was it in the air before you caught it? Is your answer reasonable?