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} $
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} $
Uniform, accelerated
Uniform, decelerated
Non-uniform, accelerated
There is not enough data for generalization
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} $
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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