Jack and Jill's Water Fetching Adventure

What are the calculations we need to do based on Jack and Jill's water fetching journey?

a. What is their total displacement?

b. What is their average speed?

c. What is their average velocity?

Calculations and Answers:

a) The total displacement is -340i-129j meters.

b) Their average speed is 0.56 m/s.

c) Their average velocity is -0.40i-0.15j m/s.

To calculate Jack and Jill's water fetching journey, we first need to find their total displacement, average speed, and average velocity.

Total Displacement:

The total displacement of Jack and Jill can be found by adding the vectors of the distances they walked to the West and South. The total displacement is -340i-129j meters, where i represents the horizontal component and j represents the vertical component.

Average Speed:

Jack and Jill's average speed is calculated by dividing the total distance traveled by the time taken. Transforming 14 minutes to seconds, we get 0.56 m/s as their average speed.

Average Velocity:

The average velocity of Jack and Jill is determined by dividing their total displacement by the elapsed time. Their average velocity is -0.40i-0.15j m/s, representing the direction and speed of their motion.