Question

The following figure shows the velocity time plot for a particle traveling along a straight line. The distance covered by the particle from t= 0 to t = 5s is m.

Answer 1

V-t curve
Distance travelled is asked from t =0 to 5 sec.
$V=\frac{ds}{dt}$
dS = Vdt
$S={\int }_0^{5}Vdt$
Area of V-t graph plotted on time axis from 0 to 5 sec.
$S=\frac{1}{2}\times 1\times 1+1\times 1\times +\frac{1}{2}[1+4]\times 1+\frac{1}{2}[4+2]\times 2$
$=10m$