Question

A boat operates under its motor and 10 m/s and is headed downstream. If the river flows downstream at 2m/s, what is the resultant velocity of the boat?

Answer 1

Explanation:

To calculate magnitude:

`Given\\x=10m/s\\y=2m/s\\C=√(10^2+2^2) =√(100+4) =√(104) =10.19`

To calculate angle:

`tan^-^1(2/10)=11.30`

So the resultant velocity of boat is

`10.19 m/s` at
`11.30^0`

Answer 2

The resultant velocity will be 12m/s

Explanation:

If the river flows downstream at 2m/s and also the boat is heading downstream at 10m/s. You can add the two velocities to get the resultant velocity:

Resultant Velocity = 10 m/s + 2 m/s = 12 m/s.