Physics

Problem

A car starts from rest at a traffic light. It accelerates uniformly at

2\,\text{m\,s}^{-2}

for

4\,\text{s}

and then with a (different) constant acceleration

a

for the next

6\,\text{s}

, after which its speed is

28\,\text{m\,s}^{-1}

. a. (i) Find the value of

a

. b. (ii) Calculate the total distance travelled in the

10\,\text{s}