Two identical pellet guns are fired simultaneously from the edge of a cliff. The
ID: 1582840 • Letter: T
Question
Two identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 30 m/s to each pellet. Gun A is fired straight upward with the pellet eventually hitting the ground beneath the cliff. Gun b is fired straight downward. Ignore air resistance. Assume g=10 m/s/s.A. How long after pellet B hits the ground does pellet A hit.
B. If the pellet hits the ground with an impact speed of 60 m/s, how high is the cliff? Two identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 30 m/s to each pellet. Gun A is fired straight upward with the pellet eventually hitting the ground beneath the cliff. Gun b is fired straight downward. Ignore air resistance. Assume g=10 m/s/s.
A. How long after pellet B hits the ground does pellet A hit.
B. If the pellet hits the ground with an impact speed of 60 m/s, how high is the cliff?
A. How long after pellet B hits the ground does pellet A hit.
B. If the pellet hits the ground with an impact speed of 60 m/s, how high is the cliff?
Explanation / Answer
a) Since we see that pellet A will come back to the top of the clip with a velocity = -30 m/s , from the cliff down, both the pellets will reach with same time, so the difference is the time it takes for A to go up and come back to the cliff
we have,
V= V0 + (a*t)
where, V = final speed of pellet ( coming down) = -30 m/s ,
V0 = initial speed of pellet = 30 m/s,
g = accleration due to gravity = -9.8 m/s2
therefore
-30 = 30 +(-10)*t
implies that time t = 6.00 seconds
b) now if the pellet hits the ground with speed of 60 m/s, then
distance = speed * time = 6.00 * 60 = 360 m
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