Question

An object on a number line moved from x = 15 cm to x = 165 cm and then

moved back to x = 25 cm, all in a time of 100 seconds.

What was the average velocity of the object?

Answer 1

v_avg = 2.9 cm/s

Step-by-step explanation:

The average velocity of the object is the sum of the distance of all its trajectories divided the time:

`v_(avg)=(x_(all))/(t)`

x_all is the total distance traveled by the object. In this case you have that the object traveled in the first trajectory 165cm-15cm = 150cm, and in the second one, 165cm - 25cm = 140cm

Then, x_all = 150cm + 140cm = 290cm

The average velocity is, for t = 100s

`v_(avg)=(290cm)/(100s)=2.9(cm)/(s)`

hence, the average velocity of the object in the total trajectory traveled is 2.9 cm/s

Answer 2

The average velocity of the object is 0.1cm/s

Step-by-step explanation:

Given that the object travels from point 15cm to 165cm and back to 25cm within 100 seconds

The average velocity is calculated as thus.

Average Velocity = ∆D/t

Where ∆D represent the displacement.

The displacement is calculated as follows.

∆D = End point - Start Point.

From the question, the end and start point are 25cm and 15cm respectively.

Hence,

∆D = 25cm - 15cm

∆D = 10cm.

t = 100 seconds

So, Average Velocity = 10cm/100s

Average Velocity = 0.1cm/s

Hence, the average velocity of the object is 0.1cm/s