A particle moves along a straight line. For t > 0 the position of the particle is given by s (t) 50t 12 4 4 where's is in meters and t is in seconds. (a) Find the equation for the velocity of the particle. (b) Find all values where the velocity is -1. (c) At t = 5 is the particle moving forwards or backwards? Explain your answer. (d) Determine when the particle is not moving. (e) Interpret s' (1) = 6 in terms of the problem. Be sure to include units in your answer. (f) Is the particle speeding up or slowing down at t = 1? Justify your