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

Explanation

(a) `v_("center")= 0`, (b) `vecv_("top")= (+22m//s)hati`, (c) `vecv_("Bottom") (-22m//s)hati`,(d) `a_("center")=0`, (e) `a_("top")= 1.5 xx 10^(3)m//s^(2)`, (f) `a_("bottom")= 1.5 xx 10^(3)m//s^(2)`, (g) `vecv= (+22m//s)hati`, (h) `2v= +44m//s`, (i)zero (j) it does not accelerate, (k)the answer is as it was in part (e)that is , `a= 1.5 xx 10^(3)m//s^(2)`, (l) as explained in part (k) that is , `a = 1.5 xx 10^(3)m//s^(2)`