A particle moves in a straight line such that its distance (x m) from the origin at t seconds is given by x = 45t + 11t2 - t3. Find the velocity of the particle after 9 seconds.

Here are the solutions to the problems. 9. Particle Motion and Curve Analysis a) A particle moves in a straight line such that its distance (x m) from the origin at t seconds is given by x = 45t + 11t^2 - t^3. (i) Find the velocity of the particle after 9 seconds.* Step 1: Find the velocity function by differentiating the distance function with respect to time t. v = (dx)/(dt) = (d)/(dt)(45t + 11t^2 - t^3) = 45 + 22t - 3t^2 Step