A river current has a velocity of 5 km/h relative to the shore, and a boat moves in the same direction as the current at 5 km/h relative to the river. How can the velocity of the boat relative to the shore be calculated?

PHYSICAL SCIENCES

Please wait while the activity loads.
If this activity does not load, try refreshing your browser. Also, this page requires javascript. Please visit using a browser with javascript enabled.

If loading fails, click here to try again

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]

A	by subtracting the river current vector from the boat’s velocity vector
B	by dividing the river current vector by the boat’s velocity vector.
C	by multiplying the vectors.
D	by adding the vectors.

Explanation:

Detailed explanation-1: -As the two vectors are going in same direction. So, the velocity of the boat relative to the shore can be calculated by adding the river’s velocity to the boat’s velocity. So, the correct option is (c) “add the river’s velocity to the boat’s velocity".

Detailed explanation-2: -Figure 3.18 The velocity of the boat relative to the shore is vBS. It is the vector sum of the velocity vBW of the boat relative to the water and the velocity vWS of the water relative to the shore:vBS = vBW+vWS.

Detailed explanation-3: -Hence, velocity of river is 3kmh−1.

Detailed explanation-4: -Answer: Speed of boat = 1/15 *60 = 4km/hr, So, the speed of stream is 5-4 = 1km/hr.

Detailed explanation-5: -Velocity of a boat relative to river current and river current velocity are equal in magnitude. Starting from point A on the southern bank, the boat. Velocity of a boat relative to river current and river current velocity are equal in magnitude.

There is 1 question to complete.