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An airplane is traveling 675 km/h in a direction 41.5 ° west of north (Figure 3-

ID: 1959191 • Letter: A

Question

An airplane is traveling 675 km/h in a direction 41.5° west of north (Figure 3-31). (a) Find the components of the velocity vector in the northerly and westerly directions. Northerly               km/h? Westerly               km/h? (b) How far north and how far west has the plane traveled after 3.00 h? North                    km? West                    km? An airplane is traveling 675 km/h in a direction 41.5 degree west of north (Figure 3-31). (a) Find the components of the velocity vector in the northerly and westerly directions. Northerly km/h? Westerly km/h? (b) How far north and how far west has the plane traveled after 3.00 h? North km? West km?

Explanation / Answer

a. Northerly Component of velocity = vcos(41.5) = 505.545 km/hr ( v= 675km/hr) Westerly Component of velocity = vsin(41.5) = 447.269 km/hr b. After three hours: North Distance = 505.545 x 3= 1516.635 km West Distance = 447.269 x 3 = 1341.807 km