a bicyclist rides 10.0 km/h west and 20.0 km/h east what is the resultant velocity

To find the resultant velocity, you need to determine the net displacement (change in position) and the time it takes to cover that distance. In this case, the bicyclist is traveling in opposite directions, so the net displacement is the difference between the distances traveled in each direction.

To calculate the net displacement, you subtract the distance traveled west from the distance traveled east:

Net displacement = Distance east - Distance west

Net displacement = 20.0 km - 10.0 km

Net displacement = 10.0 km (east)

Now, to find the resultant velocity, you need to divide the net displacement by the total time taken to cover that distance. Since no specific time is provided, we can assume that both distances were traveled for equal durations. Let's assume it to be 1 hour:

Resultant velocity = Net displacement / Total time

Resultant velocity = 10.0 km (east) / 1 hour

Resultant velocity = 10.0 km/h (east)

Therefore, the resultant velocity of the bicyclist is 10.0 km/h east.

Vr = -10 + 20 = 10 km, East.