A particle moves along the x-axis so that at time t ≥ 0 its position is given by -LSB- math -RSB- x -LRB- t -RRB- = \ cos \ sqrt -LCB- t -RCB- -LSB- / math -RSB- . 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 ?