If a cyclist in the Tour de France traveled southwest a distance of 12,250 meters in 1 hour what would the velocity of the cyclist be

Answer 1

Hi there Papi!

We know that velocity is defined as the rate of distance traveled per unit time, distance / time, and has a speed and a direction. Here, we are given that in the time of one hour, the cyclist travels a distance of 12,250 meters. So, we know that:

t = 1 hr

d = 12,250 m

We also know that there are 60 seconds in a minute and 60 minutes in an hour, and we probably want the velocity in units of meters per second, m/s. So let's use the relevant equation and plug in our numbers and unit conversions:

v = d / t

= 12,250 m * 1 hr * 1 min

1 hr 60 min 60 s

= 3.403 m/s southwest

If you need to report the direction in units of degrees or radians, make east 0° or 0 radians, and turn 45° or π/4 radians 5 times counter-clockwise to get 225° or 5π/4 radians.

Make sure to follow whatever sig fig rules your teacher would like you to heed. Hope this helps and please reach out with any further questions!