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- 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?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?If three vectors sum up to zero, si1at geometric condition do they satisfy?
- If vectors A and B are orthogonal, what is the component of B along the direction of A ? What Is the component of A along the direction of B ?For vectors and , calculate (a) and its magnitude and direction angle, and (b) and its magnitude and direction angle.The coordinates of a particle in a rectangular coordinate system are (1.0,4.0,6.0) . What is the position vector of the particle?
- 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 direchimdsOne 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 diagram6. t cgclist cides 4.0 fm due east, then n.0km 21° west of northe From this point she rides 4.0 tm dlue 15 12.0k 7.o km due west, What is the final from where the cuclist (Bxpress your Oansuer rm i Assume the Itx adis is to the is to the nocth. ' displarement started 'cin tm)? besta U in vector tor east, and the ty-atis swer
- A vehicle on Erclar is running track o radius llo0 cm at the Yate of Yokmper hour Thaugh whal will it tun. angle wll in 20sec.33) From the rood of the Scienre Beilding, throw you coter balloon at 19,92 mis 21.0 m above the a37,8 gram et actiy harisonally at St Jasepha Auditor umm bulding which is et actly 36.0metes south of the Suience Building- et How far wp Hhe saall of St. Tosphiy pheom grand level did the wnter balloon hit-7 Hhe cwall of St. Josealls Hrom groundSuppose you first walk 12.0 m in a direction 20º west ofnorth and then 20.0 m in a direction 40.0º south of west.How far are you from your starting point, and what is thecompass direction of a line connecting your starting point toyour final position? (If you represent the two legs of the walkas vector displacements A and B , thenthis problem finds their sum R = A + B .)