Draw the x-t graphs for positive,negative,and | vedclass

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(N/A) The $x-t$ (position-time) graph represents the motion of an object. The slope of the $x-t$ graph gives the velocity of the object. The curvature

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(N/A) The $x-t$ (position-time) graph represents the motion of an object. The slope of the $x-t$ graph gives the velocity of the object. The curvature of the graph indicates the acceleration.
$(a)$ For positive acceleration $(a > 0)$: The graph is concave upwards (like a parabola opening upwards). The velocity increases with time.
$(b)$ For negative acceleration $(a < 0)$: The graph is concave downwards (like a parabola opening downwards). The velocity decreases with time.
$(c)$ For zero acceleration $(a = 0)$: The graph is a straight line with a constant slope,indicating constant velocity.

$t (s)$	$0$	$1$	$2$	$3$
$x (m)$	$-2$	$0$	$6$	$16$

Draw the $x-t$ graphs for positive,negative,and zero acceleration.

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