Question

what is the distance traversed by the particle between 0 seconds and 6 seconds?
a. 2 meters
b. 4 meters
c. 6 meters
d. 8 meters
e. 12 meters

Explanation:

Step1: Identify graph shape

The velocity-time graph forms a triangle with base $b=6\ \text{s}$ and height $h=2.0\ \text{m/s}$.

Step2: Calculate triangle area

Distance = Area of triangle: $\frac{1}{2} \times b \times h$
$\frac{1}{2} \times 6 \times 2.0$

Answer:

C. 6 meters