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Grade: 11
        
A particle starts moving at t=0 from origin along positive X axis. Its speed depends on the distance traveled x as v=k√x . If v=dx/dt and a=dv/dt, then find x,v and a in terms of time.
The answer is k(square) t(squ)/4, k(squ)t/2, k(squ)/2 respectively.
pls explain
9 months ago

Answers : (1)

Khimraj
3008 Points
							
v = k√x
dx/dt = k√x
dx/√x = kdt
integerating both side
2√x = kt
x = k2t2/4
v = dx/dt = k2t/2
a = dv/dt = k2/2
Hope it clears.............................................
9 months ago
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