the acceleration of particle vary with position x as a=kx^2 , then the velocity of particle is proportional to ?
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a = kx^2
By dimensional analysis
[LT^-2] ∝ [L^2]
Multiply both sides with L
[LT^-1]^2 ∝ [L]^3
v^2 ∝ x^3
v ∝ x^(3/2)
Velocity of particle is proportional to x^(3/2)
By dimensional analysis
[LT^-2] ∝ [L^2]
Multiply both sides with L
[LT^-1]^2 ∝ [L]^3
v^2 ∝ x^3
v ∝ x^(3/2)
Velocity of particle is proportional to x^(3/2)
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