Question

The one-dimensional motion of a point particle is shown in the figure. Select the correct statement

• A. The total distance travelled by the particle is zero
• B. The total displacement of the particle is zero
• C. The maximum acceleration of the particle is $\frac{1}{2}m{s}^{-2}$
• D. The total distance travelled by the particle at the end of 10s is 100 m
• E. At the $5^{th}$ second, the acceleration of the particle is 2 $m{s}^{-2}$

Answer 1

Answer: (B)

Given, figure shows the relation between speed and time. So, area of the figure will be displacement.
Therefore, area of first triangular
$\left(d_1\right)=\frac{1}{2}\times 10\times 10=50m$,
area of second triangular
$\left(d_2\right)=\frac{1}{2}\times (-10)\times 10=-50m$
Therefore, total area $(d)=$ total displacement of particle
$\Rightarrow d_1+d_2=50-50=0$