The particle moves along a straight line and its velocity at a distance 'x' from the origin is
![k \sqrt{a { }^{2} - x {}^{2} } k \sqrt{a { }^{2} - x {}^{2} }](https://tex.z-dn.net/?f=k+%5Csqrt%7Ba+%7B+%7D%5E%7B2%7D+-+x+%7B%7D%5E%7B2%7D++%7D++)
Then the acceleration of the particle is.?
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Step-by-step explanation:
Given,
Velocity,
v=ka2−x2
dxdv=−a2−x2kx
Acceleration,
a=v×dxdv
=ka2−x2×(−a2−x2kx)
∴a=−k2x
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