Accelerated Pre-Calculus Name:____________________________________ Day 05 - Vector Applications Practice Date:______________________ Period:_________ 1. A kayak is traveling across a pond at a speed of 8 meters per second in the direction of 67 South of West. Give the speed of the kayak in component form. 2. Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25. Give the force exerted on the wagon as a vector and as a linear combination of unit vectors i and j. 3. Peyton and Tanner were lifting a large boulder and relocating it within their property. Peyton is pushing the boulder with a force of 110 newtons at an angle of 55 with respect to the positive x-axis. Tanner is pulling the boulder with a force of 165 newtons at an angle of 42 with respect to the positive x-axis. Find the magnitude and direction (with respect to the positive x-axis) of the resultant force. 4. Two four-wheelers are trying to drag a third four-wheeler out of the mud. The first four- wheeler is traveling at the bearing of 30 and the second four-wheeler is traveling at the bearing of 305. If the four-wheelers are pulling with forces of 300 pounds and 270 pounds, respectively, find the magnitude and directions (as a bearing) of the resultant force on the third four-wheeler. 5. Two forces of 70 and 110 pounds are acting on an object. The object is standing in a vertical position and the forces are acting at a 40 angle to each side, left and right. Find the magnitude and direction (with respect to the horizonal axis) of the resultant force. 6. Erica is swimming due north at a rate of 7 feet per second. If the current of the lake is 3 feet per second in the direction 75 West of South, find Erica's resultant speed and direction (as a bearing). 7. A model airplane is traveling at a speed of 59 meters per second at a bearing of 214. While flying, the model plane comes across wind traveling in the direction 343 with a velocity of 21 meters per second. Find the resultant speed and direction (as a bearing) of the model airplane