A particle is moving along a curve defined by parametric equation x = 2Cos3t, y = 2 Sin3t, z = 4t (i) Find the velocity and acceleration at any given time t. (ii) Find the magnitude of velocity and acceleration at t = 0 b) A particle moves in a circle of radius 20cm. if its tangential speed is 40cm/s, find (i) Angular speed (ii) Angular acceleration (iii) Normal acceleration (iv) Arc length covered by the particle after 10 seconds. a) The power applied to a particle by a force field is given as function of time t by P(t) = 3t-4t+2. find the work done in moving a particle from P at t = 2 to P at t = 4 respectively. b) A particle of unit mass moves along a space curve defined by the position vector F = Coswt i+bSinwt j, where a, b, and w are constants. Find (i) (ii) Torque Angular momentum about the origin