# The graph gives the velocity v versus time t for a particle moving along an x axis. What is the particle's displacement from t = 0 to t = 16 s ?

Sep 9, 2015

$380 \text{m}$

#### Explanation:

The total distance travelled = the area under the velocity / time graph.

From this you can see that:

$s = \frac{40 \times 5}{2} + \left(3 \times 40\right) + \frac{8 \times 40}{2}$

$= 100 + 120 + 160 = 380 \text{m}$