Figure 1 shows a map of Olivia’s trip to a coffee shop. She gets on her bike at

Question

Figure 1 shows a map of Olivia’s trip to a coffee shop. She gets on her bike at Loomis and then rides south .7 miles to Broadway. She turns east onto Broadway, rides .8 miles to where Broadway turns, and then continues another 1.2 miles to the shop. Phys111 (Fall 18) Ch.1 Homework Problem 1.36-Enhanced-with Feedback Constants I Periodic Table Part A (Figure 1) shows a map of Olivia's trip to a coffee shop. She gets on her bike at Loomis and 0.7mi to Broadway. She turns east 0.8 mi to where Broadway turns, and then continues another 1.2mi to the shop. What is the magnitude of the total displacement of her trip? Express your answer in miles d 1.8 mi Previous Answors Correct Figure 1of1 Part B What is the direction of the total displacement of her trip? Express your answer in degrees Start End Broads30 , measured counterclockwise from the eastward direction Submit Previous Answers Request Answer

Explanation / Answer

here,

s1 = - 0.7 j mi

s2 = 0.8 i mi

s3 = 1.2 mi * ( cos(30) i + sin(30) j)

s3 = 1.04 i mi + 0.6 j mi

the net displacement , s = s1 + s2 + s3

s = 1.84 i mi - 0.1 j mi

the magnitude of displacement , |s| = sqrt(1.84^2 + 0.1^2) = 1.84 mi

direction , theta = arctan(0.1/1.84) = 356.89 degree counterclockwise from eastward direction

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