A particle moves along x-axis and is undergoing deceleration which is proportional to the cube of its instantaneous speed v. The initial speed is v0 and after describing a path length x = x0, the speed is reduced to v_0/2. Then
(a) when x = 5x0, the speed is v_0/16
(b) velocity of the particle is given by v = v_0 e^(-x/x_0 )
(c) velocity of the particle is given by v = v_0/(1+x/x_0 )
(d) when x = 3x0, the speed is v_0/5
A particle moves along x-axis and is undergoing deceleration which is proportional to the cube of its instantaneous speed v. The initial speed is v0 and after describing a path length x = x0, the speed is reduced to v_0/2. Then
(a) when x = 5x0, the speed is v_0/16
(b) velocity of the particle is given by v = v_0 e^(-x/x_0 )
(c) velocity of the particle is given by v = v_0/(1+x/x_0 )
(d) when x = 3x0, the speed is v_0/5