Example3.1 Taking a Trip Goal Find the sum of two vectors by using agraph. Probl

Question

Example3.1 Taking a Trip Goal Find the sum of two vectors by using agraph.

Problem A car travels 20.0 km due north and then35.0 km in a direction 60° west of north, as in Figure 3.6.Find the magnitude and direction of a single vector that gives thenet effect of the car's trip. This vector is called the car'sresultant displacement.

Strategy Draw a graph, and represent thedisplacement vectors as arrows. Graphically locate the vectorresulting from the sum of the two displacement vectors. Measure itslength and angle with respect to the vertical.
Figure 3.6 A graphical method for finding theresultant displacement vector = + .
Solution Let represent the firstdisplacement vector, 20.0 km north. thesecond displacement vector, extending west of north. Carefullygraph the two vectors, drawing a resultant vector with its base touchingthe base of and extending to thetip of . Measure the length ofthis vector, which turns out to be about 1 km. The angle , measured with aprotractor, is about 2° west ofnorth.

Explanation / Answer

from the given graph it is clear that X value of resultant is-30 km         y value of theresulatnt is=37.5km the resultant is 30*30+37.5*37.5=48.02km

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.