A car starts from rest at a traffic light

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A car starts from rest at a traffic light. It accelerates uniformly at 2 m s−22\,\text{m\,s}^{-2} for 4 s4\,\text{s} and then with a (different) constant acceleration aa for the next 6 s6\,\text{s}, after which its speed is 28 m s−128\,\text{m\,s}^{-1}. (i) Find the value of aa. (ii) Calculate the total distance travelled in the 10 s10\,\text{s}.

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