Question

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

Answer 1

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  $1.392\ Km$