A car A moves to the left with speed 40 km/h(with respect to the road). Another car (B) moves to the right with speed 60 km/h (also with respect to the road). Find the relative velocity of B with respect to A.
to the right at 100 km/hr
(assuming they are on the same straight road)
To find the relative velocity of car B with respect to car A, we need to consider the velocities of both cars and their direction of motion.
Car A is moving to the left with a speed of 40 km/h, and car B is moving to the right with a speed of 60 km/h. Since the two cars are moving in opposite directions, their relative velocity will be the sum of their individual velocities' magnitudes.
Let's denote the velocity of car A as Va = 40 km/h to the left, and the velocity of car B as Vb = 60 km/h to the right.
To find the relative velocity of B with respect to A, we subtract the velocity of A from that of B.
Relative velocity of B with respect to A = Vb - Va
Since the velocities are in opposite directions, we need to take their signs into account. The negative sign indicates the opposite direction.
Relative velocity of B with respect to A = 60 km/h - (-40 km/h)
= 60 km/h + 40 km/h
= 100 km/h to the right (with respect to car A)
So, the relative velocity of car B with respect to car A is 100 km/h to the right.