2. A cart travels continuously around a circular track with a constant acceleration. The track has a length of 10km. At a specific time, t - 0, its position is measured.

It takes half an hour for the cart to complete one full lap of the track It takes two hours (from time t-0) for the cart to complete ten full laps of the track The following formula describes this situation s=u₂t+ at² where .s is the displacement, measured in km . u, is the velocity of the cart when t-0, measured in kmh-¹ • t is the time taken, measured in hours . a is the acceleration of the cart, measured in kmh.² a) Use the information about the position of the cart after half an hour to write a formula linking u, and a. b) Use the information about the position of the cart after two hours to write another formula linking u, and a. Page 2 Version 1.1 Copyright © 2020 leadirect Engineering mathematics - Principles c) Use your equations to find the initial velocity of the cart and its acceleration.