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3 years ago

A car climbs 10.0 kilometers up a hill that inclines 8.0 degrees. What is the car's vertical displacement?

Physics

1 answer:

mash [69]3 years ago

5 0

The correct answer to the question is : $1.392\ Km$

CALCULATION:

The angle of inclination of the hill with the horizontal ground $\theta =\ 8^{0}$ .

The magnitude of displacement or the distance travelled by the car up that hill is given as -

distance S = 10.0 Km.

We are asked to calculate the vertical displacement.

Applying vector resolution process, we get-

(a) $Scos\theta$ is the horizontal component

(b) $Ssin\theta$ is the vertical component.

Hence, the vertical displacement is calculated as -

Vertical displacement $S_{y} =\ S\sin\theta$

$=\ 10\times sin8^{0}$

= 1.392 Km.

Hence, the vertical displacement of the car is $1.392\ Km$

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