Question

Study the velocity vs. time graph shown.

A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 6, velocity in meters per second on the y axis, numbered 0 to 9. A line starts at (0, 2) and ends at (6, 8).
What is the displacement of the object from 2 seconds to 6 seconds?

4 m
8 m
16 m
24 m

Answer 1

Displacement = area under v–t curve from t=2 to 6.

v(2)=4 m/s, v(6)=8 m/s, Δt=4 s. Area = (v1+v2)/2 * Δt = (4+8)/2 * 4 = 6 * 4 = 24 m.

Answer: 24 m.