Question

Calculate the total displacement for the given velocity-time graph.

• A. $165\text{m}$
• B. $180\text{m}$
• C. $160\text{m}$
• D. $150\text{m}$

Answer 1

The correct option is A $165\text{m}$

Displacement is the area under the velocity-time curve

The graph forms a trapezium, and so displacement is given by its area formula:
$S=\frac{1}{2}\times (8+3)\times 30=165\text{m}$