Chapter 35, Problem 1RCQ

To determine

Your speed relative to ground.

Answer to Problem 1RCQ

Solution: Speed relative to ground is $61\text{km/hr}$.

Explanation of Solution

Given:

Your speed, $v_1=1\text{km/hr}$
Speed of train, $v_2=-60\text{km/hr}\left(-\text{ve}\text{sign}\text{is}\text{for}\text{opposite}\text{direction}\right)$

Calculation:

Velocity is a vector quantity that depends on the magnitude as well as direction.

Since, you travel in the opposite direction of the train; therefore, your speed relative to ground is given as, $V_{\text{rel}}=v_1-v_2$

Plugging the values in the above equation, $\begin{array}{c}{V}_{\text{rel}}=1-\left(-60\right)\\ =61\text{km/hr}\end{array}$

Conclusion:

Your speed relative to ground is $61\text{km/hr}$.