Question

Olivia's trip to a coffee shop. She gets on her bike at loomis and then rides south 0.7mi to broadway. She turns east onto broadway, rides 0.8 mi to where broadway turns, and then continues another 1.2mi to the shop.

Answer 1

solution:

Now, the total displacement of her trip is given as,

d¬̅  = (0.7mi)(- jˆ)+ (0.8mi) iˆ + (1.2mi)cos30˚I + (1.2mi)sin30˚ jˆ

d¬̅  = (0.7mi)(- jˆ)+ (0.8mi) iˆ + (1.04mi) iˆ + (0.6mi) jˆ

d¬̅  = (1.84mi) iˆ + (0.1mi)( - jˆ)

the displacement lies in the fourth quadrant  

so, the direction of the total displacement will ne in east-south direction.