Two stones are thrown simultaneously, one straight upward with an initial speed
ID: 1654397 • Letter: T
Question
Two stones are thrown simultaneously, one straight upward with an initial speed of 8.00 m/s from the base of a cliff and the other straight downward with an initial speed of 7.00 m/s from the top of the cliff that is 15.0 m above the base. When the stones cross paths, find (a) the time of flight, (b) the location (above the base), and (c) speed of the stone going up.
(a) 1.00 s; I got this part correct
(b) 3.1 m; I got his part correct
(c) -2.9 m/s; I got this incorrect and I'm not sure if my significant figures are off or if it is a positive answer.
Explanation / Answer
(a)
for upward motion
y1 = v1*t + (1/2)*a*t^2
y1 = 8*t - (1/2)*9.8*t^2
for downward motion
-y2 = -v2*t - (1/2)*g*t^2
-y2 = -7t - (1/2)*9.8*t^2
y2 = 7t + (1/2)*9.8*t^2
but
y1 + y2 = 15
8t + 7t = 15
t = 1.00 s
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part (b)
y1 = 8*1 - (1/2)*9.8*1^2
y1 = 3.1 m
==============
part (c)
v = v1*t - g*t
v = 8*1 - 9.8*1
v = -1.80 m/s
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