Solve 1-11

AP Physics I U3 WS0 - Trigonometry & Vectors 9/29/15 Math Interlude - Trig & Vectors B Problems 1-6: use a graphical approach to adding or subtracting the vectors below (they could be position, velocity or acceleration or even other types of vectors). You can simply trace them onto your paper as needed. In each case, draw R, the resultant vector in a clear way. 1. R = A+B 4. R-B-C 2. R = B+A 5. R=C+B-A 3. R = B+C 6. R= D+C-A 7. A vector of magnitude 7 m is angled at 15" above the horizontal in the first quadrant (upper right) of the x-y plane. What are the magnitudes of its x- and y-components? 8. A vector of magnitude 21 - is angled at 30" to the left of the y-axis in the third quadrant in the x-y plane. What are the magnitudes of its x- and y-components? 9. Vector A has a magnitude of 5 - and an angle of 60* above the x-axis. Vector B has an x-component of magnitude -2 - and a y-component of magnitude 8 . What is A + B? 10. A hiker leaves camp and, using a compass, hikes 4 km E, then 6 km S, 3 km N, 10 km W, 8 km N and finally 3 km S. They are now completely lost. How far is the hiker from camp, and what direction should they travel to get back to camp? 1 1. A cannon is angled up from horizontal and fired, Just after leaving the cannon, the cannon ball has a horizontal velocity of 200 - and a vertical velocity of 65 . What is the angle of the cannon