An particle is moving such that a=3x^2 find v at x=2m
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a = 3x²
here acceleration is the function of displacement .
we know,
a = v.dv/dx , where v is velocity .
3x² = v.dv/dx
3x².dx = v.dv
integrate both sides,
x³ = v²/2
8 = v²/2
v = ± 4 m/s
here acceleration is the function of displacement .
we know,
a = v.dv/dx , where v is velocity .
3x² = v.dv/dx
3x².dx = v.dv
integrate both sides,
x³ = v²/2
8 = v²/2
v = ± 4 m/s
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