f the car below starts from rest, its velocity after 4 seconds is roughly
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Explanation:
For 0<t<4 s :
Let the acceleration of the particle be a ( constant)
Initial velocity of the particle u=0
Using S=ut+
2
1
at
2
∴ x=0+
2
1
at
2
⟹x=
2
at
2
for 0<t<4
Thus the x-t graph is parabola symmetric about x axis for 0<t<4
Velocity of particle at t=4 s, v=0+a(4)=4a m/s
For t>4 s :
Acceleration of the particle is zero i.e a=0
∴ x=vt=4at for t>4 s
Thus x-t graph is a straight line for t>4 s
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Answered By
toppr
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