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21 sie 2023 · The distance travelled is equal to the velocity multiplied by the elapsed time.Sources: Rogawski, J. (2015). Calculus. W.H. Freeman & Company, a MacMillan Ed...
Example problem: Find the total distance traveled for a particle traveling in a horizontal motion from t = 0 to t = 5 seconds according to the position function: s(t) = 8t 2 – 4t. Step 1: Find the velocity function. The velocity function is the derivative of the position function.
28 wrz 2023 · To determine distance traveled, we have to compute the distance separately on intervals where velocity is positive or negative, and account for the change in position on each such interval.
If we know the velocity of a moving body at every point in a given interval, can we determine the distance the object has traveled on the time interval? How is the problem of finding distance traveled related to finding the area under a certain curve?
To solve for total distance travelled: 1.Find velocity vector by differentiating $x$ vector. 2.Find time intervals contained in the given time intervals where $v$ is $-v_e$
To determine distance traveled, we have to compute the distance separately on intervals where velocity is positive or negative, and account for the change in position on each such interval. Subsection Exercises 1 Estimating distance traveled from velocity data
How is the problem of finding distance traveled related to finding the area under a certain curve? What does it mean to antidifferentiate a function and why is this process relevant to finding distance traveled? If velocity is negative, how does this impact the problem of finding distance traveled?
