B (3,3) C (7,3) E (5,0) A (0,0) D (7,-6) 十 Note: all coordinates in meters - not to scale! A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 1.8 minutes to complete the course, what is the magnitude of the robot's average velocity in the direction of the X-axis?
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- Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.Calculate the result for each of the following cases using the correct number of significant figures. a. 3.07670 10.988 b. 1.0093 105 9.98 104 c. 5.44231064.008103A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
- B (3,3) E (5,0) A (0,0) C (7,3) D (7,-6) Note: all coordinates in meters - not to scale! A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4 minutes to complete the course, what is the robot's average speed? Answer: Om/s Xv sin 20 gives the distance x travelled (in feet) by a projectile launched from 32 The formula r% = the ground, with initial velocity v (in feet/sec) and initial angle 0 (in radians or degrees). a. Write an expression for the total differential in x. b. Use the total differential to estimate the error in calculating the range of a projectile with initial velocityv 100 ft/sec and initial angle 0= 50 degrees, with measurement errors of dv = t10 ft/sec (for velocity) and d6==5 degrees (for the initial angle). (Note: remember to use radians for the differential in 0.)The parade runs north for 1.8 mi then heads 20 degrees S of east for 1.4 miles. What is the magnitude of the parades final displacement? Give your answer to one decimal place.
- A bottle rocket is launched straight up. Its height in feet (y) above the ground x seconds after launch is modeled by the quadratic function: y = -16x2 + 124x + 8. How many seconds did it take the rocket to strike the ground? O 8.59 seconds o 7.814 seconds 7.31 seconds O 8.295 seconds b nAn adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then 1.4 km west. She completed the trip in 2 hr: 5 min :8 s. What was the magnitude of her average velocity over the entire trip in m/s? Express your answer in metres/second to two decimal places (do not include units in your answer).Danny takes his dog to the local dog park every morning, as well (dog-walking is very popular in this area). He walks with his dog 6 blocks east, 6 blocks north, and 6 west in order to get to the park. If each block is 50 meters, what distance did Danny travel in meters? Answer: m
- Question 1 A person walks due E for 10 meters and then due N for 10 meters. What is the total distance traveled? O 14.14 meters 20.14 meters 20 meters 10 meters Question 2 A person walks due East for 10 meters and then due North for 10 meters. What is the total displacement (magnitude only)? 20.14 meters 14.14 meters 20 meters 10 metersSuppose you went for a drive along a long, straight road that runs east-west. Let's define east to be the positive x direction. From your home, you drive east at 30 mi/hr to your friends house for 20 minutes, then at 48 mi/hr east for 10 minutes to the grocery store. Finally, you drive west at 60 mi/hr without stopping to get home. What is your displacement for the entire trip?I need help with this practice problem. I was given the answer key but I need help solving it step by step. A car drives North for 1 km. Then it turns and drives 2 km at 30◦ South of West.Finally the driver turns again and drives 0.5 km Northwest.(a) What is the total distance driven?(b) What are the magnitude and direction of the car’s overall displacement? Answer Key: a.) 3.5 km b.) .11 km, 9.55◦