A car is driven east for a distance of45 km, then north for 35 km, and then in a

Question

A car is driven east for a distance of45 km, then north for 35 km, and then in a direction 29° east of north for23 km. Draw the vector diagram anddetermine the total displacement of the car from its startingpoint.
Magnitude
1 km
Direction
2° (counterclockwise from east)
A car is driven east for a distance of45 km, then north for 35 km, and then in a direction 29° east of north for23 km. Draw the vector diagram anddetermine the total displacement of the car from its startingpoint.
Magnitude
1 km
Direction
2° (counterclockwise from east)

Explanation / Answer

A car is driven east for a distance of45 km, then north for 35 km, and then in a direction 29° east of north for23 km. Draw the vector diagram anddetermine the total displacement of the car from its startingpoint.
Magnitude
1 km
Direction
2° (counterclockwise from east)


to draw the vector diagram cramster is not supporting.

resolving the vectors into components
                               Xcomponent                Y component
45km                           45                            0
35 km                         0                              35
23km                          23 sin29                     23cos 29
adding
X components X=48+0+11.15=59.15km
Y components X=0+35+20.11=55.11km
resultant=80.84km
direction=tan=55.11/59.15
so =42.97degree counterclockwise from east

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