The speed versus time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t = 0 to t = 5 s will be __________

$$\text{From the given graph, at } t = 5\text{ s, the speed of the particle is } u = 8\text{ m/s.}$$

$$\text{The geometric shape bounded by the graph from } t = 0 \text{ to } t = 5\text{ s is a right-angled triangle.}$$

$$\text{Distance} = \text{Area of the triangle} = \frac{1}{2} \times \text{base} \times \text{height}$$

$$\text{Distance} = \frac{1}{2} \times 5 \times 8 = 20\text{ m}$$