Question

Study the graph shown below. It is a graph of velocity vs. time for a moving object. Velocity vs Time Velocity (m/s) N 0 10 1 15 meters 23 meters O29 meters 2 40 meters 1 S What is the object's displacement during the first eight seconds? EGI Time (s) 7 10​

Answer 1

The total displacement of the object during the first 8 s is 29 m. (Option C).

How to calculate the displacement of the object during the first 8 second?

The displacement of the object during the first 8 seconds is calculated by applying the following formula as shown below.

Displacement = area of the curve

between 0 and 8 s, there are four different shapes, and their area is calculated as follows.

Displacement = ¹/₂ (3)(4) + (1 x 4) + ¹/₂ (4 + 5)(2) + (5 x 2)

Displacement = 6 m + 4 m + 9 m + 10 m

Displacement = 29 m

Thus, the total displacement of the object during the first 8 s is 29 m.