Please answer queations 003,004,005 Use numbers from question 001 to answer them
ID: 1524716 • Letter: P
Question
Please answer queations 003,004,005
Use numbers from question 001 to answer them please
This print-out should have 9 question. Multiple-choice questions may continue on the next column or page - find all choices before answering. A commuter airplane starts from an airport located at the origin. First it files to city A located 84 km away from the airport in a direction 26 degree North of East. Next it files 57.1 km at West of North to city B. Finally it files 176 km due West to city C. What is the x-component of the vector b^rightarrow? Consider E to be the positive x axis and N to be the positive y axis. What is the x-component of vector r^rightarrow from the starting point (position O) to the city C? Answer in units of km. What is the y-component of vector r? Answer in units of km. What is the direction of the final position vector r^rightarrow in degrees West of North; what is the angle gamma? Use counterclockwise as the positive angular direction, measured between -180 degree and +180 degree from North: Answer in units of degree. A car trawls 26.5 km due north and then 26.9 km in a direction phi = 64.1 degree west of north. What is the y-component of the vector b? b_y = - b cos beta b_y = - b sin beta b_y = - b tan beta b_y = b cos beta Find the magnitude of the car's resultant displacement. Answer in units of km. Calculate the direction of the car's resultant displacement, measured counterclockwise from the northerly direction. Answer in units of degree. A person walks 23 m East and then walks 38 m at an angle 41 degree North of East. What is the magnitude of the total disExplanation / Answer
003)
rx = ax + bx + cx
= a*cos(alfa) - b*sin(beta) + cx
= 84*cos(26) - 57.1*sin(25) - 176
= -124.6 km
004)
ry = ay + by + cy
= a*sin(alfa) + b*cos(beta) + cy
= 84*sin(26) + 57.1*cos(25) - 0
= 88.6 km
005)
theta = tan^-1(rx/ry)
= tan^-1(124.6/88.6)
= 54.6 degrees North of West