Multi-step prob During a trampoline competition, a trampolinist leaves the mat when her center of gravity is 6 feet above the ground. She has an initial vertical velocity of 32 ft/sec.

Question

a. Use the vertical motion model (h=-16t^2+vt+s) to write an eqn that models the height h (in ft) of the center of gravity of the trampolinist as a function of the time t (in seconds) into her jump.
b. Does her center of gravity reach a height of 24 ft during the jump? Of so, at what time (s)?
c. On another jump, the trampolinist leaves the mat when her center of gravity is 6 ft above the ground and with an initial vertical velocity of 35 ft/sec. Does her center of gravity reach a hight of 24 ft on this jump? If so, at what time (s)?

Answer 1

(a) well? It's obviously

h = -16t^2 + 32t + 6

(b) solve for t when h=24
(c) same , but use 35t instead of 32t