Displacement x of aparticle moving along x axis at time t is given by x^2=2t^2+6t. the velocity at any time t is
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Displacement varies as , x² = 2t² + 6t
We know, velocity is rate of change of displacement.
means, we have to differentiate displacement function for finding velocity.
now, differentiate with respect to t
2x.dx/dt = 4t + 6
Here, dx/dt is not other than velocity.
so, 2xv = (4t + 6)
Now, put x = ±√(2t² + 6t)
so, v = ±(4t + 6)/√(2t² + 6t)
We know, velocity is rate of change of displacement.
means, we have to differentiate displacement function for finding velocity.
now, differentiate with respect to t
2x.dx/dt = 4t + 6
Here, dx/dt is not other than velocity.
so, 2xv = (4t + 6)
Now, put x = ±√(2t² + 6t)
so, v = ±(4t + 6)/√(2t² + 6t)
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