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 $\frac{1}{2}\,ms^{-2}$
• 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 $ms^{-2}$

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
$\left(d_{1}\right)=\frac{1}{2} \times 10 \times 10=50\, m$,
area of second triangular
$\left(d_{2}\right)=\frac{1}{2} \times(-10) \times 10=-50\, m$
Therefore, total area $(d) =$ total displacement of particle
$\Rightarrow d_{1}+d_{2}=50-50=0$