A 240-m-wide river flows due east at a uniform speed of 3.3m/s. A boat with a speed of 7.7m/s relative to the water leaves the south bank pointed in a direction 39o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river?
A 240-m-wide river flows due east at a uniform speed of 3.3m/s. A boat with a speed of 7.7m/s relative to the water leaves the south bank pointed in a direction 39o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river?
Given information:
The width of the river (w) = 240 m
The speed of the river (Vr) = 3.3 m/s
The boat speed relative to the river (Vbr) = 7.7 m/s
The actual speed of Boat is given as:
The direction in which the boat makes leaves (θ) = 390 west of north.
Let us draw the given scenario:
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