Particle Calculus Question

Question

1.a particle is moving, to the position function: s(t)=2sint-cos2t

a) find the initial position of the particle

b) find the velocity of the function

c)find initial velocity of particle

d) find acceleration function

Answer 1

a) s(0) = 2sin0 - cos0 = - 1

b) v(t) = s'(t) = 2cost + 2sin(2t)

c) v(0) = 2cos0 + 2sin0 = 2

d) a(t) = v'(t) = - 2sint + 4cos(2t)