The car in the figure travels at a constant speed along the road shown. Draw vector showing its acceleration at the point C if t
he acceleration at point A is drawn. The lengths of your vectors should correspond to the magnitudes of the accelerations. Draw the vector Ac with its tail at point C. The orientation and exact length of your vector will be graded.
The figure as shown in the diagram, indicates that the car is moving along the road at a constant speed. Centripetal acceleration comes into play for an object moving in a circular motion at uniform speed. The centripetal acceleration is the acceleration experienced by an object while in uniform circular motion.
Mathematically from centripetal acceleration; a = v2/r
The equation shows that there is an inverse relationship between the acceleration and the radius of curvature as such the radius of curvature at the point A will be more than the radius of curvature at the point C, this shows that the centripetal acceleration at point C will be more than the centripetal acceleration at point A.
The attachment shows the figure and the representation in vectorial form.