Question

Represesnt the given velocity 230km/h in the direction 2000

7cm
5cm
14cm
10cm

Answer 1

Answer on Question #46806-Physics-Mechanics-Kinematics-Dynamics

Represent the given velocity $v = 230\frac{km}{h}$ in the direction $\alpha = 200$ degrees.

Solution

The vector $\vec{v}$ is shown in the following figure:

We should find coordinates $(v_{x}; v_{y})$ of its end. By definition

$$v _ {x} = v \cos \alpha ; v _ {y} = v \sin \alpha .$$

Substituting values we get

$$v _ {x} = 2 3 0 \cdot \cos 2 0 0 = - 2 1 6. 1 3 \frac {k m}{h};$$ $$v _ {y} = 2 3 0 \cdot \sin 2 0 0 = - 7 8. 6 7 \frac {k m}{h}.$$

Thus $\overline{\pmb{v}} = \left(-216.13\frac{km}{h}; - 78.67\right)\frac{km}{h}.$

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