The function y=-16x2+v0x models Lindy's height in feet above a trampoline x seconds after she jumps straight up. In the equation of the function, v0 is her initial velocity in feet per second. Lindy lands back on the trampoline 1 second after she jumps.

Question

Mathematics

Lutz

27 February, 19:53

The function y=-16x2+v0x models Lindy's height in feet above a trampoline x seconds after she jumps straight up. In the equation of the function, v0 is her initial velocity in feet per second. Lindy lands back on the trampoline 1 second after she jumps.

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Lilian Erickson · Answer 1

Ok so when she lands her height is 0 and x = 1 second so we can write

-16x^2 v0x = 0

plug in x = 1

-16 (1) ^2 + v0 = 0

v0 = 16*1 = 16

so initial velocity = 16 ft/second