Question

1.You arrive at a model rocket competition only to discover that you left your small solid-fuel engines at home. In a fit of anger, you throw the engine-less rocket straight up in the air. The rocket leaves your hand (ℎ0) 6 feet above the ground with an initial throw velocity (?0) of 35 feet per second. Realizing that you will need the rocket for future competitions, you catch the rocket when it falls back to a height (ℎ(?)) of 4 feet. For how many seconds was the rocket in the air? What formula gives us this information? (Note: velocity and height are in feet.)

2.You throw the rocket from problem #1 straight up in the air with an initial velocity (?0) of 50 feet per second, and the rocket leaves your hand (ℎ0) 6 feet above the ground. If you catch it when it falls back to a height (ℎ(?)) of 4 feet, how long was the rocket in the air? Does the increase in initial velocity increase or decrease the air time of the rocket?

Answer 1