A boat is moving with a velocity 3 hati +4 hatj with respect to the ground. The water in the river is flowing with a velocity -3 hati-4 hatj with respect to the ground. The velocity of the boat relative to the water is

Question

A boat is moving with a velocity 3 hati +4 hatj with respect to the ground. The water in the river is flowing with a velocity -3 hati-4 hatj with respect to the ground. The velocity of the boat relative to the water is (A) 6 hati+8 hatj (B) 8 hati+8 hatj (C) 6 hati+6 hatj (D) none of these

Tardigrade Admin · Accepted Answer

vecVb =3 hati +4 hatj, vecVw =-3 hati- hatj VBA = vecVb- vecVw=6 hati+8 hatj

Q. A boat is moving with a velocity $3 \hat{i} + 4 \hat{j}$ with respect to the ground. The water in the river is flowing with a velocity $- 3 \hat{i} - 4 \hat{j}$ with respect to the ground. The velocity of the boat relative to the water is

$6 \hat{i} + 8 \hat{j}$

$8 \hat{i} + 8 \hat{j}$

$6 \hat{i} + 6 \hat{j}$

none of these

$V_{b} = 3 \hat{i} + 4 \hat{j}, V_{w} = - 3 \hat{i} - \hat{j}$
$V_{B A} = V_{b} - V_{w} = 6 \hat{i} + 8 \hat{j}$

Q. A boat is moving with a velocity 3i^+4j^​ with respect to the ground. The water in the river is flowing with a velocity −3i^−4j^​ with respect to the ground. The velocity of the boat relative to the water is

6i^+8j^​

8i^+8j^​

6i^+6j^​