. s and t have dimensions of velocity, V, and time. T. respectively. If s = utg + c, {1) what are the dimensions of e and c? In 31 system of units. what are the units for s, a, t and c? {5 marks} . Vectors fl: 2 2i 3} and g = 41-3 + 11;}: 23:. (a) Find the angle between fl: and E. {h}- Find 21' 2E. (10 marks) . Vectors fl, E and (3" have magnitudes A = 4, B = 3 and C = 2. If sl++r=0i {2) nd the the angle between :7; and g. {10 marks) . An ohjcet is moving to the right, along the 1- axis. If the position of the particle is given as :3 = 2 + 4:2 2:3 m {3) where t is in seconds. Find: (a) the average velocity of the object between i = {1.55 and t = 2s. (1;) the instantaneous velocity of the object as a func tion of time; [c] the average speed of the object between t = 0.5 s and t = 2 s; (d) the instantaneous speed of the object at t = 2 s. (15 marks} . A particle moves with constant acceleration a: = d m/sz. It has an initial velocity 'b'n; = 8 m/s when it is at 1'0 = 2 m. Find the velocity of the particle when it is at :r- = 5 m. What is the average velocity of the particle as it goes from In 2 2 m to :L' = 5 m? (ID marks}