Question

Two cars are moving in the same direction in parallel lanes along a highway. At some instant,the velocity of car A exceeds the velocity of car B. Does that mean that the acceleration of car A is greater than that of car B?Explain.

Answer 1

Velocity exceeding does not imply greater acceleration; acceleration is the rate of velocity change, and instantaneous velocity doesn't indicate the current acceleration rate.

Step-by-step explanation:

Just because the velocity of car A exceeds that of car B does not necessarily mean that car A's acceleration is greater than that of car B. Acceleration is the rate at which an object changes its velocity. If car A is speeding up, it means that it has positive acceleration. However, car B could also have positive acceleration (but less than car A's), constant zero acceleration (meaning it's moving at a constant speed), or even negative acceleration (if it is slowing down). The instantaneous velocity tells us nothing about the current rate of acceleration; it only tells us about the speed and direction of motion at that specific moment.

Answer 2

Yes the acceleration of car A is greater than that of car B

Step-by-step explanation:

Acceleration= Rate of change of velocity

If both cars are moving with the same velocity the acceleration would be zero because neither the velocity nor the direction is changing. if the velocity of the car A changes then there would be some acceleration and hence it will be greater than zero or greater than the acceleration of car B.