Acar travels 30.25 kilometers due west and then drives 7.50 kilometers up a hill that inclines 15.0 degrees. what is the vertical displacement of the car?
a. 0.60 kilometers
b. 1.94 kilometers
c. 3.25 kilometers
d. 4.35 kilometers

The correct answer to the question is : B) 1.94 Km.

EXPLANATION:

As per the question, the car travels 30.25 Km due west.

The car drives 7.50 km up a hill.

The angle of inclination of the hill with the ground is .

We are asked to calculate the vertical displacement of the car.

Resolving 7.50 Km into horizontal and vertical components, we get-

(a) which is the horizontal component.

(b) which is the vertical component.

The vertical displacement [ y ] is calculated as -

                                        y =

                                           = 7.50sin15

                                           = 1.9411..    m.

                                           = 1.94 m.

Hence, the vertical displacement is 1.94 m.

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