A car starts from rest and moves with uniform | vedclass

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(A) Given that the car starts from rest $(u = 0)$ and moves with uniform acceleration $(a = 	ext{constant})$.$(i)$ For $x-t$ graph: Using the equatio

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Parabolic, Linear, Constant

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(A) Given that the car starts from rest $(u = 0)$ and moves with uniform acceleration $(a = 	ext{constant})$.$(i)$ For $x-t$ graph: Using the equation of motion $x = ut + \frac{1}{2}at^2$, since $u=0$, we get $x = \frac{1}{2}at^2$. This represents a parabola passing through the origin.$(ii)$ For $v-t$ graph: Using the equation $v = u + at$, since $u=0$, we get $v = at$. This represents a straight line passing through the origin with a positive slope.$(iii)$ For $a-t$ graph: Since the acceleration is uniform, $a$ remains constant with respect to time. This represents a straight line parallel to the time axis.

$A$ car starts from rest and moves with uniform acceleration. Describe the shapes of the $(i)$ $x-t$, $(ii)$ $v-t$, and $(iii)$ $a-t$ graphs for this motion.

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