Question

a river current has a velocity of 10 km/h relative to the shore, and a boat moves in the same direction as the current at 10 km/h relative to the river. how can the velocity of the boat relative to the shore be calculated? A. By subtracting the river current vector from the boats velocity vector. B. By multiplying vectors. C. By dividing the river current vector by the boats velocity vector. D. By adding the vectors?

Answer 1

D. By adding the vectors?

Answer 2

By adding the vectors

Step-by-step explanation:

It is given that, a river current has a velocity of 10 km/h relative to the shore, and a boat moves in the same direction as the current at 10 km/h relative to the river.

If we want to find the relative velocity of the boat with respect to the shore. It can be calculated by adding these two vectors.

Let velocity of river current, v₁ = 10 km/h

Velocity of boat, v₂ = 10 km/h

So, velocity of the boat relative to the shore will be :

v = v₁ + v₂

v = 20 km/h

Hence, the correct option is (d) "By adding the vectors".