Question

A person intends to swim due north across a river that flows from east

to west at 3.00 m/s. The swimmer has a north bound velocity of 4.00 m/s.

a. Determine the resultant velocity magnitude.

b. Determine the angle the resultant velocity makes with respect to north.

c. Determine the time of the swim across the river.

d. Determine the distance the swimmer is carried west if the river is 30.0 m

wide.

Answer 1

Explanation:

ANSWER

Here,

Velocity of water flowing in river, vr=3 m s−1

Velocity of swimmer in still water, vs=4 m s−1

From figure,

The resultant velocity of the swimmer is

v=vs2+vr2=(4)2+(3)2=25=5 m s−1