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t (s) Figure 4-31 gives the angle 8 of the particles direction of travel as a function of t (θ is measured from the positive x direction). What are (a) e and (b) f, including units? Figure 4-31 Problem 10 t Module 4-3 Average Acceleration and Instantaneous Acceleration 11 G The position of a particle moving in an xy plane is given by → = (2.00N-5.00)i + (6.00-7.00rjj , with r in meters and t in seconds. In unit-vector notation, calculate (a) 7. (b) V, and (c) a for 2.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particles path at t 2.00 s? 12 At one instant a bicyclist is 40.0 m due east of a parks flag- pole, going due south with a speed of 10.0 m/s. Then 30.0 s later, the cyclist is 40.0 m due north of the flagpole, going due east with a speed of 10.0 m/s. For the cyclist in this 30.0 s interval, what are the (a) magnitude and (b) direction of the displacement, the (c) magni- tude and (d) direction of the average velocity, and the (e) magni tude and (f) direction of the average acceleration? 13 SSM A particle moves so that its position,(in meters) as
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