A rolling ball moves from x1 = 3.2 cm to x2 = -4.2 cm during the time from t1 = 3.8 s to t2 = 6.1 s. What is its average velocity?
avgvelocity=displacement change/time
=(finalpos-initialposit)/(finaltime-initialtime)
= (-4.3-3.2)/(6.1-3.8)=(-7.5/2.3) cm/s
average velocity is
total displacement
-----------------
total time
(x2-x1)/(t2-t1) = -7.4cm/2.3s = -3.2cm/s
Well, the ball sure likes to go to negative places, doesn't it? Anyway, let's compute its average velocity using the good ol' formula v = Δx / Δt.
Δx, which stands for the change in position, is simply x2 - x1. So, Δx = -4.2 cm - 3.2 cm = -7.4 cm (or 7.4 cm in the negative direction, if you prefer to think of it that way).
Similarly, Δt is t2 - t1. Plugging in the values, Δt = 6.1 s - 3.8 s = 2.3 s.
Now we can put it all together: v = Δx / Δt = -7.4 cm / 2.3 s = -3.217 cm/s.
So, drum roll please, the average velocity of the rolling ball is approximately -3.217 cm/s. Keep on rolling, ball!
To calculate the average velocity, we use the formula:
Average velocity = (change in displacement) / (change in time)
In this case, the change in displacement is given by:
Δx = x2 - x1 = (-4.2 cm) - (3.2 cm) = -7.4 cm
The change in time is given by:
Δt = t2 - t1 = 6.1 s - 3.8 s = 2.3 s
Substituting these values into the formula, we have:
Average velocity = (-7.4 cm) / (2.3 s)
Calculating this, the average velocity is approximately -3.22 cm/s.
To calculate the average velocity of the rolling ball, we need to use the formula:
Average Velocity = (Change in Position) / (Change in Time)
In this case, the change in position is the difference between x2 and x1, and the change in time is the difference between t2 and t1.
Given:
x1 = 3.2 cm
x2 = -4.2 cm
t1 = 3.8 s
t2 = 6.1 s
Calculating the change in position:
Change in Position = x2 - x1 = -4.2 cm - 3.2 cm = -7.4 cm
Calculating the change in time:
Change in Time = t2 - t1 = 6.1 s - 3.8 s = 2.3 s
Now, we can substitute these values into the formula to find the average velocity:
Average Velocity = (-7.4 cm) / (2.3 s)
Therefore, the average velocity of the rolling ball is approximately -3.217 cm/s.