Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

The speed-time graph shown represents 25 seconds of a car journey. Starting at a speed of $v\,\text{m s}^{-1}$, the car decreases uniformly to $12\,\text{m s}^{-1}$ in 15 seconds. It then keeps a constant speed for another 10 seconds.
(a)[2]

The car's retardation is $0.4\,\text{m s}^{-2}$. Determine the value of $v$.

(b)[2]

Calculate the distance covered by the car from $t = 0$ to $t = 25$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $18$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI