Question

what is the net displacement of the particle between 0 seconds and 80 seconds?
a. 160 meters
b. 80 meters
c. 40 meters
d. 20 meters
e. 0 meters

Explanation:

Step1: Calculate area above time axis

The area is two triangles:
$\text{Area}_1 = \frac{1}{2} \times 20 \times 4 + \frac{1}{2} \times 20 \times 4 = 40 + 40 = 80$ meters

Step2: Calculate area below time axis

The area is one triangle:
$\text{Area}_2 = \frac{1}{2} \times 40 \times 4 = 80$ meters

Step3: Compute net displacement

Subtract lower area from upper area:
$\text{Net Displacement} = \text{Area}_1 - \text{Area}_2$
$\text{Net Displacement} = 80 - 80 = 0$ meters

Answer:

E. 0 meters