A car travels at 80 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 66 cm. Relative to a woman riding in the car and in unit-vector notation, what are the velocity at the (a) center, (b) top, and (c) bottom of the tire and the magnitude a of the acceleration at the (d) center, (e) top, and (f) bottom of each tire? Relative to a hitchhiker sitting next to the road and in unit-vector notation, what are the velocity at the (g) center, (h) top, and (i) bottom of the tire and the magnitude a of the acceleration at the (j) center, (k) top, and (l) bottom of each tire?

Answer 1

Just use imagination
From car:
center (the axle) does not move
bottom moves back at 80 with the road
so top has to move forward at 80

from roadside:
center moves forward at 80
top forward at 160
bottom still where it touches stationary ground

the axle is not accelerating
the top and bottom have centripetal acceleration toward the axle.