1.A conductor in a train travelling at 4.0 m/s (N) walks across the train at 1.2 m/s (E) to validate a ticket. If the trian car is 4.0m wide, how long does it take the conductor to reach the other side?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1.A conductor in a train travelling at 4.0 m/s (N) walks across the train at 1.2 m/s
(E) to validate a ticket. If the trian car is 4.0m wide, how long does it take the
conductor to reach the other side?
vog=?
vom 1.2 m/s(E)
(1.2/4.2)
vmg= 4.0 m/s(N)
vog 4.2m/s(N17E)
Ad
At =
Δυ
At = 3.3s
vom=5m/s(W)
vmg=11m/s(S
= 12m/s
=
vog vom+vmg
-5m/s (W)+ 11m/s(S)
= sqrt (5m/s)^2+ (1m/s)^2
sin 90
12m/s
4.0m/s
1.2m/s
2. A jetski speeds across a river at 11 m/s relative to the water. The jet ski's
heading is South. The river is flowing West at 5m/s. Determine the jet ski's
velocity relative to the shore.
vog=?
=
vog vom+vmg
sin 0
5m/s
= 1.2m/s(E) + 4.0m/s(N)
=sqrt (1.2m/s)^2 + (4.0m/s)^2
=4.2 m/s
= 24°
Therefore the answer is 12m/s (S24W)
Tan-1=
= 17
Transcribed Image Text:1.A conductor in a train travelling at 4.0 m/s (N) walks across the train at 1.2 m/s (E) to validate a ticket. If the trian car is 4.0m wide, how long does it take the conductor to reach the other side? vog=? vom 1.2 m/s(E) (1.2/4.2) vmg= 4.0 m/s(N) vog 4.2m/s(N17E) Ad At = Δυ At = 3.3s vom=5m/s(W) vmg=11m/s(S = 12m/s = vog vom+vmg -5m/s (W)+ 11m/s(S) = sqrt (5m/s)^2+ (1m/s)^2 sin 90 12m/s 4.0m/s 1.2m/s 2. A jetski speeds across a river at 11 m/s relative to the water. The jet ski's heading is South. The river is flowing West at 5m/s. Determine the jet ski's velocity relative to the shore. vog=? = vog vom+vmg sin 0 5m/s = 1.2m/s(E) + 4.0m/s(N) =sqrt (1.2m/s)^2 + (4.0m/s)^2 =4.2 m/s = 24° Therefore the answer is 12m/s (S24W) Tan-1= = 17
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