Question

Fig. 6.37 shows the graph of velocity versus time for a particle going along the x-axis. Find (a) acceleration, (b) the distance travelled in 0 to 10 s and (c) the displacement in 0 to 10 s.

Answer 1

(a) Acceleration $=$ slope of graph $=\frac{8-2}{10}=\frac{6}{10}=0.6$ $m/s^2$.

(b) As the acceleration is constant we can use the equations of motion

$s=ut+\frac{1}{2}a{t}^2$

$s=\left(2\right)\left(10\right)+\frac{1}{2}\left(0.6\right)(10{)}^2=20+0.6\times 10\times 5=20+30=50m$

(c) Distance $=$ Displacement

Because the velocity continuously increases.