Henrietta is going off to her physics class, jogging down the sidewalk at a speed of 4.15 m/s . Her husband Bruce suddenly reali
zes 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 44.4 m above the street level and directly above the sidewalk, to throw them to her. Bruce throws them horizontally at a time 8.00 s after Henrietta has passed below the window, and she catches them on the run. You can ignore air resistance.
Required:
a. With what initial speed must Bruce throw the bagels so Henrietta can catch them just before they hit the ground?
b. Where is Henrietta when she catches the bagels?
Required:
a. With what initial speed must Bruce throw the bagels so Henrietta can catch them just before they hit the ground?
b. Where is Henrietta when she catches the bagels?
1 answer:
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Answer:
The velocity of the hay bale is - 0.5 ft/s and the acceleration is
Solution:
As per the question:
Constant velocity of the horse in the horizontal,
Distance of the horse on the horizontal axis, x = 10 ft
Vertical distance, y = 20 ft
Now,
Apply Pythagoras theorem to find the length:
Now,
(1)
Differentiating equation (1) w.r.t 't':
where
= Rate of change of displacement along the horizontal
= Rate of change of displacement along the vertical
= velocity along the x-axis.
= velocity along the y-axis
Acceleration of the hay bale is given by the kinematic equation: