The velocity of a particle constrained to move along the x-axis as a function of time t is given by: v(t)=-(15/t_0) sin(t/t_0). a)if the particle is at x=4 m when t = 0, what is its position at t = 4t_0. you will not need the value of t_0 to solve any part of this problem. b)denote instantaneous acceleration of this particle by a(t). evaluate the expression 6 + v(0) t + a(0) t^2/2 at t = 4t_0.