Chapter 5, Problem 3A

If a vector that is 1 cm long represents a velocity of 10 km/h, what velocity does a vector 2 cm long drawn to the same scale represent?

To determine

The value of velocity of vector represented by the given length of vector.

Answer to Problem 3A

The velocity will be 20 km/h .

Explanation of Solution

Given:

Velocity of $10\text{km}/\text{h}$ is represented by a vector length of 1 cm.

Calculation:

Consider the given vector. The following figure represents the vector.

  

If the vector of 2 cm drawn in the same direction as the above 1 cm vector which represent velocity of 10 km/h, it will have the velocity value equal to

  $\begin{array}{c}v=2\times 10\\ =20\text{km}/\text{h}\end{array}$

Representation is shown below:

  

Conclusion:

Therefore, the velocity is 20 km/h for a length of 2 cm.