The position of a particle moving along the X-axis at certain tim… - Vidyadip

MCQ

The position of a particle moving along the $X-$axis at certain times is given below :Which of the following describes the motion correctly

$\begin{array}{|c|c|c|c|c|} \hline t( s ) & 0 & 1 & 2 & 3 \\ \hline x ( m ) & -2 & 0 & 6 & 16 \\ \hline \end{array} $

A
Uniform, accelerated
B
Uniform, decelerated
✓
Non-uniform, accelerated
D
There is not enough data for generalization

✓

Answer

Correct option: C.

Non-uniform, accelerated

c
(c) Instantaneous velocity $v = \frac{{\Delta x}}{{\Delta t}}$

By using the data from the table

${v_1} = \frac{{0 - ( - 2)}}{1} = 2\,m/s$

${v_2} = \frac{{6 - 0}}{1} = 6\;m/s$

${v_3} = \frac{{16 - 6}}{1} = 10\;m/s$

So, motion is non-uniform but accelerated.

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