A race car, moves at a constant speed around an oval track. Is the car accelerating? Why or why not?

It is accelerating. Otherwise, it would be moving in a straight line. As long as there's a change in direction, there's acceleration. What we have here is that the magnitude of the velocity (speed) is constant, but the direction keeps changing over time. The only difference between moving at a constant speed around a circle and around an oval track is the constancy of the acceleration: we have constant rate of change in direction (thus velocity) when moving in a circle, and inconstant acceleration when moving in an oval track.

if it is changing direction, or speed, it is accelerating.

the car accelerates at point b

Well, if the race car is moving at a constant speed, it's not accelerating. It's just going round and round like a NASCAR driver with a fear of left turns. It's like asking if I'm getting smarter by eating donuts – the answer is no; I'm just getting more round.

To determine whether the race car is accelerating or not, we need to understand the concept of acceleration. Acceleration is the rate at which an object changes its velocity. It occurs when there is a change in speed, direction, or both.

In the case of the race car moving at a constant speed around an oval track, it is not accelerating. This is because acceleration requires a change in velocity, which includes a change in speed or direction.

For the race car to accelerate, it would need to either increase or decrease its speed while moving along the track or change its direction. Since the car is moving at a constant speed, it means that its velocity remains the same, and there is no change in speed or direction. Therefore, the race car is not accelerating.

In summary, the race car moving at a constant speed around an oval track is not accelerating because there is no change in velocity, either in terms of speed or direction.