Question

Jada is rowing a boat across a river that has a current of 5 m/s in the ˆ j direction. Leanne, standing on the shore, observes Jada’s velocity to be 8 m/s ˆ I + 3 m/s ˆ j.

What is Jada’s speed with respect to the water?
a. 13.3 m/s
b. 11.3 m/s
c. 8.54 m/s
d. 8.25 m/s
e. 4.24 m/s
f. None of these

Answer 1

Answer: d. 8.25 m/s

Step-by-step explanation:

We are given that Current= 5 m/s in j direction

Velocity= 8 m/s i + 3 m/s j

Now, we have to find Jada's speed with respect to the water.

First we find Jada's velocity with respect to water

v= (8 i + 3 j) - (5 j)

v= 8i - 2 j

To find the speed, we take the magnitude of this velocity vector we have

|v|=
`√((8)^2+(-2)^2)`

|v|=
`√(68)` = 8.246 m/s

which comes out to be around = 8.25 m/s

So option d is correct.