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

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To find the average speed of the particle from t = 0 to t = 1 s, calculate the change in position (Δx) over the change in time (Δt) using the position function x = (6 m/s)t + (-2 m/s^2)t^2. Evaluating the position at t = 0 and t = 1 gives the necessary values to compute the average speed. For plotting x versus t from t = 0 to t = 2 s, create a table of values using the position function and then graph these points with time on the x-axis and position on the y-axis. This approach helps visualize the particle's motion over the specified time interval. Understanding these calculations is essential for analyzing motion in physics.
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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.
 
Physics news on Phys.org
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.
 
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