You are in Manhattan and need to walk from point A to point B. The person you are with suggests that you will get there quicker if you walk directly towards your destination. Given that buildings are in the way, the most "direct" route results in zig-zagging as shown in the figure, since you are only able to travel exactly east or exactly north. Consider the figure and compare the yellow zig-zag path with the blue-green single-turn path. Select the true statement:  -The zizag path is longer -The zigzag path is shorter -It depends on the length of the city blocks -The two paths involve walking the same distance Please explain how you got your answer in detail.

A boat traveling 37 m/s is approaching a waterfall. The waterfall is 50 meters high. How far does the boat travel horizontally before striking the water?

You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0

A clown is juggling four balls simultaneously. Students use a video tape to determine that it takes the clown 0.9 s to cycle each ball through his hands (including catching, transferring, and throwing) and to be ready to catch the next ball. What is the minimum vertical speed the clown must throw each ball upward with?

The figure below shows an object initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 239 m in length, and the particle moves from A to C in 33.0 s. Point B on the path is 35.0° below the x-axis. O 35.0⁰ magnitude direction C B x (a) What is the speed of the object (in m/s)? m/s (b) What is the magnitude and direction of the acceleration when the object is at point B? (Enter the magnitude in m/s² and the direction in degrees counterclockwise from the +x-axis.) m/s² ° counterclockwise from the +x-axis

A pilot flew his​ single-engine airplane 60 miles with the wind from City A to above City B. He then turned around and flew back to City A against the wind. If the wind was a constant 20 miles per​ hour, and the total time going and returning was 1.3 ​hours, find the speed of the plane in still air.