When a train's velocity is 12.0 m/s eastward, raindrops that are falling vertically with respect to the earth make traces that are inclined 30.0° to the vertical on the windows of the train. (a) What is the horizontal component of a drop's velocity with respect to the earth? With respect to the train? (b) What is the magnitude of the velocity of the raindrop with respect to the earth? With respect to the train?

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Chapter1: Units, Trigonometry. And Vectors
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When a train's velocity is 12.0 m/s eastward,
raindrops that are falling vertically with respect to the earth make
traces that are inclined 30.0° to the vertical on the windows of the train.
(a) What is the horizontal component of a drop's velocity with respect
to the earth? With respect to the train? (b) What is the magnitude of
the velocity of the raindrop with respect to the earth? With respect to
the train?
A motorboat going downstream overcame a raft at a point A;
T- 60 min later it turned back and after some time passed the raft
at a distance I- 6.0 km from the point A. Find the flow velocity
assuming the duty of the engine to be constant.
A cannon fires successively two shells with velocity v-
= 250 m/s; the first at the angle 0, = 60° and the second at the angle
0, = 45° to the horizontal, the azimuth being the same. Neglecting
the air drag, find the time interval between firings leading to the
collision of the shells.
Transcribed Image Text:When a train's velocity is 12.0 m/s eastward, raindrops that are falling vertically with respect to the earth make traces that are inclined 30.0° to the vertical on the windows of the train. (a) What is the horizontal component of a drop's velocity with respect to the earth? With respect to the train? (b) What is the magnitude of the velocity of the raindrop with respect to the earth? With respect to the train? A motorboat going downstream overcame a raft at a point A; T- 60 min later it turned back and after some time passed the raft at a distance I- 6.0 km from the point A. Find the flow velocity assuming the duty of the engine to be constant. A cannon fires successively two shells with velocity v- = 250 m/s; the first at the angle 0, = 60° and the second at the angle 0, = 45° to the horizontal, the azimuth being the same. Neglecting the air drag, find the time interval between firings leading to the collision of the shells.
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