A particle moves along the x-axis so that at time t ≥ 0 its position is given by [math]x(t) = \cos \sqrt{t}[/math]. What is the velocity of the particle at the first instance the particle is at the origin?
A particle moves in a straight line such that its acceleration after time t sec is sin5^2, where a=2-t^2+t of its initial velocity 3m5^2. What is the expression for 5 the distance travelled from the start?