ASSIGNMENT 1
1. If a cyclist is traveling along a road due cast at 12km/h and wind is blowing from south-
west at Skm/h. find the velocity
of the wind relative to the cyclist.
2. A river is 120m wide and the water flows at 2.5km/h. a ferryman who can scull in still
water at 3km/h wishes to cross the river in a direction
at right angle to its bank. Find
either by accurate scale drawing or by calculation
a. the direction in which he must steer the boat.
b. the time it takes him to cross.
3. A man rows a boat in still water at 6.0km/h, he wishes to row due north across a river 3.0km
wide which is flowing due cast at 2.0km/h. calculate
a. The direction in which he must head the boat
b. The time taken to reach the other bank
4. A swimmer whose velocity in still water is 4km/h sets out at right angles to the bank of a
river which is flowing at 3km/h. draw a sketch of his path through water. Calculate his actual
velocity through the water.
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