1 Answer

JMRC · Answer 1 · 2016-07-12T17:05:41+0000

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
$S_(y) =\ S\sin\theta$

$=\ 10* sin8^(0)$

= 1.392 Km.

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

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