At one instant a bicyclist is 35 m due east of a park\'s flagpole, going due sou

Question

At one instant a bicyclist is 35 m due east of a park's flagpole, going due south with a speed of 10 m/s. The, 14 s later, the cyclist is 45 m due north of the flagpole, going due east with a speed of 13 m/s. For the cyclist in this 14 s interval find each of the following:
(a) displacement
magnitude _____________m
Direction ______________ degrees north of west

(b) average velocity
magnitude _____________m
Direction ______________ degrees north of west

(c) average acceleration
magnitude _____________m
Direction ______________ degrees north of west

Explanation / Answer

At one instant a bicyclist is 35 m due east of a park's flagpole, going due south with a speed of 10 m/s. The, 14 s later, the cyclist is 45 m due north of the flagpole, going due east with a speed of 13 m/s. For the cyclist in this 14 s interval find each of the following:
(a) displacement=v35*35+45*45 magnitude ____57.00m
Direction __?=tan-1(45/35)degrees north of west

(b) average velocity
magnitude _____displacement/time = 57/14=4.072 m/sec
Direction _____?=tan-1(45/35)degrees _________ degrees north of west

(c) average acceleration
magnitude __[13-10]/14___=0.2142 m/sec2Direction _ same as change in velocity

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