An automobile accelerates uniformly from rest &?

Question

covers a distance of 71 m in 5.9 s. If the diameter of a tire is 43 cm

A) What is the angular acceleration of the wheel in rad/s^2?

B) What is the final angular velocity of one of the car's wheels in rad/s?

C) Total number of rotation of the wheel?

Answer 1

first
71m = a *(5.9/2)^2 solve for (a)

a is your linear acceleration

circumfrance of wheel = .43 *2*(pi).
divide a by circumfrance and get angular acceleration in rev's and conver to rad/s ( I think there are 2 *pi rads per rev)

to find final velocity, a*5.9 = V