The deceleration exerienced by a moving motor blat, after its engine is cut-off is given by `dv//dt=-kv^(3)`, where `k` is constant. If `v_(0)` is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time `t` after the cut-off is.
A. `v_(0)/sqrt(1+2ktv_(0)^(2))`
B. `v_(0)/(2k)`
C. `v_(0)/sqrt(1+2kt)`
D. `v_(0)/sqrt(2kt)`