Please take your time to do these PCS211 2D-Vectors questions carefully!

3. [-l8 Points] SERPSE10 3.1 .P.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The polar coordinates of a certain point are (r : 3.05 cm, 6 : 218). (a) Find its Cartesian coordinates X and y. x: cm y= cm (b) Find the polar coordinates of the points with Cartesian coordinates (7x, y). (c) Find the polar coordinates of the points with Cartesian coordinates (72x, 72y). r : cm 9 = (d) Find the polar coordinates of the points with Cartesian coordinates (3X, 73y). Need He p? _ 6. [-/2 Points] DETAILS SERPSE10 3.3.P.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 127 ft at an angle of 32.0 above the horizontal. It then moves 127 ft at an angle of 46.0 below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude ft direction counterclockwise from the +x-axis Need Help? Read It8. [-/3 Points] DETAILS SERPSE 10 3.4.P.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A girl rides her bike 2.50 blocks west, 3.00 blocks north, and then 9.25 blocks east. (a) What is the girl's displacement? (Give the magnitude of your answer in terms of blocks and the direction in degrees north of east.) blocks at north of east (b) What total distance (in blocks) does the girl ride? blocks Need Help? Read It9. [-/1 Points] DETAILS SERPSE 10 3.4.P.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Add the vectors A and B in the figure using the method of components. The magnitudes of both vectors are 2.95 m, and the angle vector A makes with the x-axis is 0 = 32.0. Your result should be in unit-vector notation. (Give your answer in terms of meters.) X O i A + B = m Need Help? Read It10. [-/2 Points] DETAILS SERPSET9 3.P.024. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A map suggests that Atlanta is d, = 732 mi in a direction of 0, = 4.810 north of east from Dallas. The same map shows that Chicago is d, = 558 miles in a direction of 0, = 21.10 west of north from Atlanta. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago. magnitude mi direction north of east of Dallas Chicago . Atlanta Dallas14. [-/3 Points] DETAILS SERPSE10 3.4. OP.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What is the unit-vector notation for each of the following vectors, all with magnitudes of 20.5? (a) Vector E with direction of 60.0 counterclockwise from the +x-axis. E = (b) Vector F with direction of 60.0 counterclockwise from the +y-axis. F = (c) Vector G with direction of 60.0 clockwise from the -y-axis. G = Need Help? Read It