Position of a particle moving along X- axis at certain times is given below :Which of following desc

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2.Motion in Straight Line

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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

C

Non-uniform, accelerated

D

There is not enough data for generalization

Solution

(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.

Standard 11

Physics

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