A river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.0 m/s due north relative to the water. If the river is 325 m wide, how far downstream is the boat when it reaches the north shore?

Explanation:

Given that the velocity of the river is 1.50m/s due east.

The velocity of the boat with respect to the river is 10.0 m/s due north .

The width of the river is 325 m.

Note that the velocity of the boat will help in crossing the river.

Hence, speed = distance/time

Speed = 10.0 m/s

Distance = 325 m

Time = ?

10 = 325/time

Time = 325/10

Time = 32.5s

Hence in 32.5s the horizontal distance traveled by boat will be

= 1.50m/s × 32.5s

= 48.75m

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