Consider a wind velocity of 50 mi/h at an angle of 30° north of east. North 30° The magnitude of the vector is given: 50 mi/h Pre-Lab Question #1: Find x and y components of this example using trigonometry 1-D velocity example. Bob is truck surfing. The truck is traveling at +20 m/s. Bob can throw a ball a 10m/s. If he throws it in the + direction, what is the speed of the ball as observed by a roadsid observer? This is a vector addition problem. Starting with BallRelative ToEarthBallRelativeTo Truck T TruckRelaive ToEarth -+10m/s +20m/s =+30 m/s Pre-Lab Question #2: What if he throws it in the'-'direction? Solve: Three friends pull on a box in the directions shown below. What is the net force? Express magnitude and angle direction relative to the x axis. Solution: Again, first choose a suitable coordinate system. 120N the xy system shown. Then write each force using x and y components 100N 60° F3 20 F2

I only need part B Vector is v=(-7,-50)  The direction of the angle is going to be in Quadrant III Part B: How far has the ship traveled in one hour? Show all work.

Solve applications involving vectors. An airplane is flying on a compass heading (bearing) of 330° at 345 mph. A wind is blowing with the bearing 310° at 50 mph. (a) Find the component form of the velocity of the airplane. (b) Find the actual ground speed and direction of the plane.

Plot the vector U that goes from the origin to the point (3, 4). a. Find the magnitudes of the component vectors. b. Find the magnitude of U. c. What is the direction angle ? of U from horizontal? Round to the nearest tenth.