Vector Problems B Directions: For all problems, if possible you must SHOW ALL WORK by: (1) Drawing the component vectors given, WITH ARROWHEADS (2) Adding the vectors (3) Drawing the resultant, WITH ARROWHEAD (4) Calculating the magnitude of the resultant. (5) Calculating the direction of the resultant vector, by using the inverse tangent function, then finding the angle made by the resultant relative to 0 (due East) 1. .A bug is flying at 12 m/s west in a 5 m/s wind blowing north. What is the bug's velocity relative to the ground? 5 C = 12 2 +52 = /169 = 13 m/s 12 2. You fly your Cessna (plane) 120 mph east in a 40 mph wind moving south. What is your plane's speed w.r.t. the Earth? C= 140#+1202 = 1 1 GOOD = 126 . 49 mph 0 = tan"40 120 120 OPP 0 = tan 3 D = tan' 0- 3 D = 16. 69 9' 270 + 16 270 + 16. 699 = 286. 6990Directions: For all problems, SHOW ALL WORK by doing the following: draw the problem, identify the given & unknown, write the proper equation(s), substitute and solve. Write the answer in correct units. Use g = -- 10 m/s2. Equations: d=zatz Vavg= Ax 30 a = Vf - Vi At Ay = 1/2at 2 +vit v+2 = vi2 + 2ady 1. A pigeon is flying horizontally at an altitude (height) of 50 m. When the pigeon is above an "x" on the ground, it releases a turd. The turd travels horizontally and down until it hits the ground at a spot 20 m from the "x." How fast was the pigeon flying? drawing vertical horizontal Unknown Given & 50 m = height ( d ) 20m DX a = - 10m/ s vizo 5om d=zat Vaug = DX Equation Dt 50= 2 (-10)+2 50 - - 5+2 20 + 2 = 10 3.16 =/ 6.329 mb Substitute & Solve 20 m t = 110 t = 3. 165 / m 2. You throw a rock at 12 m/s off a cliff horizontally. If the cliff is 180 m high, how far from the base of the cliff will the car land? drawing vertical horizontal VX d= 180 7 Vi=D Unknown Given & Youg = 12 mals 12 mis a = =lom/s ? 180 M AX = Vaug x At Equation 180 = = (10)+ A X = 12X6 -180 - - 5+ 2 Substitute & Solve t- 36 AX = 72m + 6 5/ m continue