# Find the average speed from t = 0 to t = 1 s

• valerieangel
In summary, the average speed of the particle from t = 0 to t = 1 s is 4 m/s. To plot x versus t for t = 0 to t = 2 s, you can use the position function x = 6t - 2t^2 and plot points (t, x) on a graph.
valerieangel

## Homework Statement

The position of a particle as a function of time is given by x = (6 m/s)t + (-2 m/s^2)t^2.

Find the average speed from t = 0 to t = 1 s

---------------------------------------------------------------------------------------Also, how would I plot x versus t for t = 0 to t = 2 s?

## Homework Equations

average speed = ΔV/Δt

Part A: t=1s

## The Attempt at a Solution

I have not a clue.

1) Average speed is Δx/Δt
- Consider evaluating the position function both at t= 1s and t = 0s to be able to calculate Avg Speed
2) If you struggle with plotting points on a graph, try starting with an x/y chart
For instance:
t (s) x(t)
0 6(0) - 2(0)^2
and in general:
t 6t - 2t^2

Take these points and plot them as (t, x(t)), with t as the x-axis and x(t) as the y-axis.

## 1. How is average speed calculated?

The average speed is calculated by dividing the total distance traveled by an object by the time it took to travel that distance. This can be represented by the formula: average speed = total distance / total time.

## 2. What units are used to measure average speed?

Average speed is typically measured in units of distance per time, such as meters per second or miles per hour.

## 3. Can average speed be negative?

Yes, average speed can be negative if the object is moving in the opposite direction of the positive direction, for example, if an object is moving backwards. However, the magnitude of the average speed is always positive.

## 4. What does average speed tell us about an object's motion?

Average speed tells us the overall rate at which an object is moving, regardless of any changes in speed or direction during the given time interval. It does not provide information about the specific details of an object's motion, such as its acceleration or changes in speed.

## 5. How is average speed different from instantaneous speed?

Average speed is the total distance traveled divided by the total time, while instantaneous speed is the speed of an object at a specific moment in time. Average speed gives an overall picture of an object's motion, while instantaneous speed provides a more detailed look at an object's speed at a specific point in time.

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