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- In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through Equation 2.32 to show that and .
- A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?A novice golfer on the green takes three strokes to sink the ball. The successivedisplacements of the ball are 4.00 m to the north, 2.00 m northeast and 1.00 m at 30.0owest of south. Starting at the same initial point, an expert golfer could make the hole inwhat single displacement?
- saillooat encounters shiting winds- A sailor Che Fail s 2. 0D km eaff, them in a small 3. 50 km routhea rf, and then in an unlino wn directim. ter final an addiimal dietanco positim 5.50 lum directly earft of Find the magnitude and the journey. gracw the vecton ardditim diagram. the 8tarti ngg point. the thi rd Jeg f direchimtop of a building that i880m b yo dat een ball is thrown horizontalhy at aninitiall ground. At He same time tHa the red allis dped, a qr of He sane at wey slm JQ p building. the )A golf ball 3s launched with anint initial speed of 60m/s at an angle nf 450 above He ground. Find the horizontal distance (from tle launch point)a! which the CASSume Flat groundd Use lgl-10m/p? golf ball returns to te giound. ssmeThe figure shows the path taken by a drunk skunk over level ground, from initial point i to final pointL The angles are 6 - 30.0o: - 51.0 and - 77.0.and the distances are dy - 440 m d - 7.10m and dy - 13.0m What are the ta) magnitude and Ibi angle of the skunk's displacement fromi to Give the ande as a positive (counterdlockwisel or negative (clockwise) angle of magnitude less than 180 measured from the direction la) Number Units (b) Number Units
- ibel specase. A cat leaps 90 os cm Counter onto a Hoor, startig otf' the trom Hhe It edré of kaps initial angle horizontsl hnd the contr. at 79° to the edce an the eounter What Lands the initel spec on 22 em its was うつm 1om 79°dsOne morning, Cosdnnie walks from her house to go to a store that is 500 ft, S 40o W from her hdouse. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she isdasd. From her friend’s location, how far ansd in what direction should Connie waldk to finally get to the store? (Ans. 1133.08 ft, 33.83o S of W)show complete solution and diagramA ball is thrown with on nitio velocity of 100 ft/s upward. Upon the vertical. release, it makes a 30° angle with respectwith a. What is the velocity of the ball 50ff measured horizontally from its initial position? b. Find the radius of curvature 50ft mecsured hoizontaly from its initial position.