The velocity `upsilon` of a particle as a function of its position (x) is expressed as `upsilon = sqrt(c_(1)-c_(2)x)`, where `c_(1)` and `c_(2)` are positive constants. The acceleration of the particle is

Options

A. `c_(2)`
B. `-(c_(2))/(2)`
C. `c_(1)-c_(2)`
D. `(c_(1)+c_(2))/(2)`

Answer

B

Explanation

`upsilon^(2)=c_(1)-c_(2)x` comparing wiuth `upsilon^(2)=u^(2)+2as` we have
`a=-(c_(2))/(2)`