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4 dni temu · This calculus tutorial helps you understand the difference between finding the average velocity and the average speed over a time interval. Another example o...
Calculate the total displacement given the position as a function of time. Determine the total distance traveled. Calculate the average velocity given the displacement and elapsed time.
Calculate the velocity vector given the position vector as a function of time. Calculate the average velocity in multiple dimensions. Displacement and velocity in two or three dimensions are straightforward extensions of the one-dimensional definitions.
The average velocity of a function f (x) over the interval from a to b is equal to the slope of the line connecting (a,f (a)) and (b,f (b)).
Calculate the total displacement given the position as a function of time. Determine the total distance traveled. Calculate the average velocity given the displacement and elapsed time.
Yes, you're supposed to find the average velocity over each interval. In this case, we have $$ s(t)=\frac{13}{t+2} $$ (if you mean something else, please say so). To find the average velocity over an interval $[t_1,t_2]$, the formula is $$ v=\frac{s(t_2)-s(t_1)}{t_2-t_1} $$ So, for i) we get $$ v = \frac{\frac{13}{12+2}-\frac{13}{11+2}}{12-11 ...
Explain the relationships between instantaneous velocity, average velocity, instantaneous speed, average speed, displacement, and time. Calculate velocity and speed given initial position, initial time, final position, and final time.
