An object starts moving from origin with a constant acceleration along a straight path.Draw its distance time graph.How does it differ from distance time graph of an object moving with constant velocity
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If a body starts to move from origin with an acceleration a then the x - t graph will be a parabola open towards the x axis you can refer to the attachment no.1
for the graph . The equation of this parabolic graph is
X = [at^2]/2 .......................{1}
While x - t graph for an object moving with constant velocity is a linear graph with equation
X = ut. .................................{2}
Note that both equations are modified version of x = ut + [at^2]/2
In equation 1, u = 0 &
In equation 2 a = 0.
b) To find the distance from the velocity time graph you just find the total area under the curve but if you have to find displacement then case will be different.
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