Halliday, Fundamentals of Physics, 10e FUNDAMENTALS OF PIHYSICS (HALLIDAY) Home

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Halliday, Fundamentals of Physics, 10e FUNDAMENTALS OF PIHYSICS (HALLIDAY) Home Read, Study & Practie Gradebook OLION Downloadable eTexthook Chapter 03, Problem 012 A car is driven east for a dstance of 44 km, then north for 22 km, and then in a direction 27 east of north for 21 km. Determine (a) the magnitude of the car's total displacement from ts starting point and (b) the angle Ofrom east) of the car's total displacement measured trem its starting de ection. (a) Number (b) ,enter Click if you would like to Show Work for this question: Open Show Work Units LINK TO SAMP Question Attempts: 0 of 5 used SAVE FOR LATER SUBNEY ANDWER

Explanation / Answer

r = (44i) + (22 j) + 21 (sin27i + cos27j)

r = 53.5i + 40.7j

(a) magnitude = sqrt(53.5^2 + 40.7^2)

= 67.2 km

(b) theta = tan^-1(40.7 / 53.5)

= 37.3 deg N of E

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