Question

What is the y-component of the vector shown in Figure OQ3.9?

(a)3 cm

(b)6 cm

(c)$\mathbf{-}\mathbf{4}\mathbf{}\mathbf{cm}$

(d)$\mathbf{-}\mathbf{6}\mathbf{}\mathbf{cm}$

(e) none of those answers

Short answer

The correct option is (a).

Step-by-step solution

Define the vector

A quantity that has both magnitude and direction is called a vector.

It is usually represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity.

Determine the  y component of the vector 

When a particle is represented by a vector pointing from the starting location $\left(x_i,y_i\right)$ to the final point $\left(x_f,y_f\right)$, the resulting $y$-component of the vector is $y_f-y_i$.

From the given graph;

The vector's initial $y$-component is, $y_i=-2 cm$.

The vector's final y-component is, $y_f=1 cm$

As a result, the vector's consequent -component is,

$$\begin{gathered} y_f-y_i=\left[\left(1\right)-\left(-2\right)\right]cm \\ =3 cm \end{gathered}$$

As a result, option (a) is correct choice.

Explanation for option (b)

As the y-component of the vector is 3 cm.

Thus the option (b) is incorrect.

 Step 4: Explanation for option (c).

As the y-component of the vector is 3 cm.

Thus the option (c) is incorrect.

Explanation for option (d).

As the y-component of the vector is 3 cm.

Thus the option (d) is incorrect.

Explanation for option (e)

As the y-component of the vector is 3 cm.

Thus the option (e) is incorrect.