A car drives down one hill and up another maintaining constant speed (the road is a V-shape with a rounded bottom)
What can be said of the acceleration of the car along the left side of the V halfway down? What can be said of the acceleration of the car along the right side of the V halfway up? Where on the track is the acceleration the greatest? Explain.
If that car has the same speed along the left side of the V, it must have an
acceleration of zero (because there is no change in speed or direction). Likewise, along the
straight right side of the V, it also has an acceleration of zero.
If the speed never changes, then the only place there can be an acceleration is at the bottom,
where the direction is changing. A change in direction means a change in the velocity.
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