May/June 2026 Paper 22

Table 1.1 lists four physical quantities. For each quantity, select whether it is a scalar quantity or a vector quantity.

A car moves in a straight line along a road. Figure 1.1 shows the variation with time $t$ of the velocity $v$ of the car.

State the feature of the graph that represents the distance travelled by the car between $t=0$ and $t=40$ s.

Calculate the distance travelled by the car between $t=0$ and $t=40$ s.

Determine the maximum magnitude of the acceleration of the car.

At $t=25$ s, the car is at a point P.

At $t=40$ s, the car is at a distance of 150 m from P.

After $t=40$ s, the car travels with a constant acceleration of $-0.25$ m s${}^{-2}$ until the car is again at point P.

Calculate the speed of the car when it is at point P for the second time.

At $t=0$, the displacement of the car is zero.

On Figure 1.2, sketch the variation of the displacement of the car with $t$ from $t=0$ to $t=80$ s. Values for displacement are not required.