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A train is travelling east along a straight run of track at 66.0 km/hr. Inside,

ID: 3279896 • Letter: A

Question

A train is travelling east along a straight run of track at 66.0 km/hr. Inside, two siblings 1.60 m apart are playing catch directly across the aisle. The kid wearing a P.J.Harvey T-shirt throws the ball horizontally north. The ball crosses the train and is caught 0.85 s later by ber little brother. (Ignore any effects of gravity or friction.) Find the magnitude of the ball's velocity from the little brother's point of view Sumit Answer Tries O/6 What is the magnitude of the velocity of the ball as seen by somoone standing still outside the train? Sumit Answer Tries O/6 What is the angle between the direction of the ball and the direction of the train as measured by someone standing still outside the train? Sumt Answer Tries 06

Explanation / Answer

A) Ball's velocity, v = d/t = 1.6/0.85 = 1.88 m/s

B) Stationary observer sees the vector sum of 66 km/h (18.33 m/s) east and 1.88 m/s north.

Magnitude of observed velocity = (1.882+18.332)1/2 = 18.43 m/s

Angle N of E = tan-1(1.88/18.33) = 5.85°

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