With what initial speed must Bruce throw the bagels so Henrietta can catch them jus before they hit the ground

Question

Henrietta is going off to her physics class, jugging down the sidewalk at a speed of 2.95 m/s. Her husbane Bruce suddenly realized that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their apt, which is a ht of 45.1 m above the st level and directly above the sidewalk, to throw them to her. Bruce throws them horizontally at a time 4 a after Henrietta has passed below the window, and she catches them on the run. Ignore air resistance.

Answer 1

When she catches them the following equations must be satisfied

(assuming she catches them at ground level)

0=45.1-.5*g*(t-4)^2
2.95*t=v0*(t-4)
solve for v0
t-4=sqrt(45.1*2/9.81)
t-4=3.03
t=7.03

v0=2.95*7.03/3.03
=6.84 m/s

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