A particle at t1 = -1.4 s is at x1 = 3.6 cm and at t2 = 4.5 s is at x2 = 8.5 cm. What is its average velocity?

total distance: 8.5-3.6 = +4.9 cm

total time: 4.5 - (-1.5) = 6.0s
avg velocity: +4.9/6.0 cm/s

To find the average velocity of the particle, we need to use the formula:

average velocity = (change in position) / (change in time)

In this case, the change in position is given by:

change in position = x2 - x1

And the change in time is given by:

change in time = t2 - t1

Let's substitute the given values into the formula and calculate the average velocity:

change in position = 8.5 cm - 3.6 cm = 4.9 cm
change in time = 4.5 s - (-1.4 s) = 5.9 s

average velocity = (4.9 cm) / (5.9 s)

Now we can calculate the average velocity:

average velocity ≈ 0.83 cm/s

Therefore, the average velocity of the particle is approximately 0.83 cm/s.