Question

Figure given shows the displacement-time graph for a particle moving along a straight line path.
State true or false:
a. Time during which the particle was at rest is 0 s to 2 s.
b.The maximum velocity of the particle is $-2.5m{s}^{-1}$

Answer 1

(a) True.

For $0s$ to $2s$, $x$ of a particle is constant $\Rightarrow$ $V=0$

(b) Velocity $(0<t<2)=0$

Velocity $(2<t<5)=$ slope of straight line

$=\frac{2}{3}=0.66m/s$

Velocity $(5<t<7)=-\left(\frac{5}{2}\right)=-2.5m/s$

maximum vel $=2.5m/s$

True