Henrietta is going off to her physics class, jogging down the sidewalk at a spee

Question

Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 3.05 m/s. Her husband Bruce suddenly realizes that she left in such a hurry that she forgot her lunch of bagels, so he runs to the window of their apartment, which is a height 35.8m above the street level and directly above the sidewalk, to throw them to her. Bruce throws them horizontally at a time 6.00s after Henrietta has passed below the window, and she catches them on the run. You can ignore air resistance.


Part A

With what initial speed must Bruce throw the bagels so Henrietta can catch them just before they hit the ground?
Express your answer using three significant figures.

Part B
Where is Henrietta when she catches the bagels?
Express your answer using three significant figures.

Explanation / Answer

time taken for the box to fall to the ground = (2h/g) = (2*51/9.8) = 3.23 s

(b) Total distance travelled by her = v*(5.5+3.23) = 3.05*8.73 = 26.63 m from window

(a) So, velocity of throwing = 26.63/3.23 = 8.24 m/s

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