1) Define uniform motion Plot distance - time
graph of an object performing uniform
motion show that slope of distance
time graph of an object represent
speed of
the body.
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Explanation:
/ =
Now, if you look at the graphy, it is a straight line through origin.
So on x axis you have time or t and on y axis, you have distance.
Now the general equation of any line is y=mx+c, where m is the slope.
this line's equation =>y=t (since it is a line through the origin, c=0 and such that m or tan(Θ) = 1, or Θ = 45 degrees, meaning equally inclined on x and y)
=> y=mt or , since m=1, y=t.
=> what this means therefore is, the ratio y/t will always be 1 and for that to happen, equal distance should be travelled in equal intervals of time.
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