In: Physics
You drop a ball from a window on an upper floor of a building and it is caught by a friend on the ground when the ball is moving with speed vf. You now repeat the drop, but you have a friend on the street below throw another ball upward at speed vf exactly at the same time that you drop your ball from the window. The two balls are initially separated by 57.6 m.
(a) At what time do they pass each other?
s
(b) At what location do they pass each other relative to the
window?
m
h = 57.6 m
a)
The first ball is dropped from rest from the height h of the window.
the y-coordinates at time t during the fl ights are given by
the speed of second ball as it reaches the ground
the y-coordinates at time t during the fl ights are given by
When the two balls pass,
b)
When the balls meet,
Thus, the distance below the window where this event occurs is