what is the distance traversed by the particle between 0 seconds and 6 seconds?\na. 2 meters\nb. 4…

what is the distance traversed by the particle between 0 seconds and 6 seconds?\na. 2 meters\nb. 4 meters\nc. 6 meters\nd. 8 meters\ne. 12 meters

what is the distance traversed by the particle between 0 seconds and 6 seconds?\na. 2 meters\nb. 4 meters\nc. 6 meters\nd. 8 meters\ne. 12 meters

Answer

Explanation:

Step1: Recall distance - velocity relation

The distance traveled by a particle is given by the area under the velocity - time graph.

Step2: Identify the shape of the area

The area under the velocity - time graph from (t = 0) s to (t=6) s is a triangle.

Step3: Use the triangle - area formula

The area formula for a triangle is (A=\frac{1}{2}\times base\times height). Here, the base of the triangle (b = 6) s and the height (h=2) m/s. [A=\frac{1}{2}\times6\times2] [A = 6]

Answer:

C. 6 meters