A car travels clockwise at constant speed around a circular section of a horizontal road as shown in the aerial view of above figure. Find the directions of its velocity and acceleration at (a) position $A$ and (b) position $B$ .

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Solution

Because the car travels at a constant speed, it has no tangential acceleration, but it does have centripetal acceleration because it travels along a circular arc. The direction of the centripetal acceleration is toward the center of curvature, and the direction of velocity is tangent to the curve.
Point $A$
direction of velocity: East
direction of the centripetal acceleration: South
Point $B$
direction of velocity: South
direction of the centripetal acceleration: West

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A car travels clockwise at constant speed around a circular section of a horizontal road as shown in the aerial view of above figure. Find the directions of its velocity and acceleration at (a) position A and (b) position B.

A car travels clockwise at constant speed around a circular section of a horizontal road as shown in the aerial view of above figure. Find the directions of its velocity and acceleration at (a) position $A$ and (b) position $B$ .