Question

Figure (3-E3) Shows the graph of velocity versus time for a particle going along the X-axis. Find (a) the acceleration, (b) the distance travelled in 0 to 10 s and (c) the displacement in 0 to 10 s.

Figure

Answer 1

(a) Slope of the v–t graph gives the acceleration.
Acceleration $=\frac{8-2}{10}=\frac{6}{10}=0.6\mathrm{m}/{\mathrm{s}}^2$

(b) Area in the v–t graph gives the distance travelled.
Distance travelled = Area of ∆ABC + Area of rectangle OABD
=$\frac{1}{2}\times 6\times 10+10\times 2=50\mathrm{m}$

(c) Displacement is the same as the distance travelled.
Displacement = 50 m