Draw the graph of an object moving with constant accelerated motion having initial velocityv0?
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Velocity-time graph of an object moving with uniform acceleration. When the velocity – time graph is plotted for an object moving with uniform acceleration, the slope of the graph is a straight line, the pattern of slope of the graph shows that object is moving with uniform acceleration.
Complete step by step answer:
In the sequence,
S is displacement,
u is initial velocity,
t is time,
a is acceleration
Vis final velocity
Vavangle velocity
From that,
av velocity vav=u+v2. . . (1)
Vav=St. . . (2)
From (1)
st=u+v2 multiply
→S=(u+v)t2. . . (3)
From (2) equation of motion
v=u+at. . . (4)
Resulting value of (4) and (3)
S=(u+u+at)t2
⇒S=ut+ut+at22 by separating the equation,
S=2at2+at22⟹S=ut+12at2
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