An expert archer demonstrates his ability by hitting tennis balls thrown by an assistant. A 2-oz tennis ball has a velocity of ( 32 ft/s ) i − ( 7 ft/s ) j and is 33 ft above the ground when it is hit by a 1.2-oz arrow traveling with a velocity of ( 165 ft/s ) j + ( 230 ft/s ) k , where j is directed upward. Determine the position P where the ball and arrow will hit the ground, relative to point O located directly under the point of impact.
An expert archer demonstrates his ability by hitting tennis balls thrown by an assistant. A 2-oz tennis ball has a velocity of ( 32 ft/s ) i − ( 7 ft/s ) j and is 33 ft above the ground when it is hit by a 1.2-oz arrow traveling with a velocity of ( 165 ft/s ) j + ( 230 ft/s ) k , where j is directed upward. Determine the position P where the ball and arrow will hit the ground, relative to point O located directly under the point of impact.
Solution Summary: The author assumes that the ball and arrow move together after the hit.
An expert archer demonstrates his ability by hitting tennis balls thrown by an assistant. A 2-oz tennis ball has a velocity of
(
32
ft/s
)
i
−
(
7
ft/s
)
j
and is 33 ft above the ground when it is hit by a 1.2-oz arrow traveling with a velocity of
(
165
ft/s
)
j
+
(
230
ft/s
)
k
, where j is directed upward. Determine the position P where the ball and arrow will hit the ground, relative to point O located directly under the point of impact.
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