1. The position coordinates of a particle moves along a straight line is given by the relation [ x =t -5t - 8t ]. Determine the time, position and velocity when the acceleration is ( a = 32 m/ sec). Also, find the traveling distance during the interval from (t 3 sec ) to (t = 6 sec ). (10 Marks) Q2. The acceleration of a particle moving a long a straight line is [ a = 9x ]. If the initial velocity ( v. = 0), and initial position ( x, = 0). Determine (a) The equation of velocity ( v ). (b) The equation of time ( t). (c) The distance traveled and the velocity of the particle when the time taken is (t = 1.5 sec). (10 Marks) Q3. A car is traveling with constant acceleration of ( a 3 m/ sec'). The initial velocity of the car is ( vo = 20 m/ sec ) and ( x, 0). Determine : (a) The velocity of the car and the time taken to reach a distance of (x 200 m/sec). (b) What is the distance traveled when the velocity of the car becomes (v = 50 m/ sec). (c) The velocity of the car and the distance traveled at time (t 20 sec). (10 Marks)