Instantaneous versus average velocity?

DeltaForce

Gold Member
Homework Statement
If the instantaneous velocity does not change, will the average velocities for different time intervals differ?
Homework Equations
avg velocity
instantaneous velocity
I have a hard time understanding what this problem even means. So I can't even begin with it.

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hutchphd

Homework Statement: If the instantaneous velocity does not change, will the average velocities for different time intervals differ?
Homework Equations: avg velocity
instantaneous velocity

I have a hard time understanding what this problem even means. So I can't even begin with it.
Maybe I understand. Define for me the average velocity and the instantaneous velocity. How do they differ.?

haruspex

Homework Helper
Gold Member
2018 Award
Homework Statement: If the instantaneous velocity does not change, will the average velocities for different time intervals differ?
Homework Equations: avg velocity
instantaneous velocity

I have a hard time understanding what this problem even means. So I can't even begin with it.
The instantaneous velocity not changing just means the velocity is constant.
If in time interval (t,t+Δt) the position vector changes from $\vec x$ to $\vec x+\vec{\Delta x}$ then the average velocity over that time interval is $\frac{\vec{\Delta x}}{\Delta t}$.

archaic

basically, if $\frac {d\vec {x}}{dt}$ is the same at every moment during the movement, then would you get a different average velocity if you compute it for different time intervals, say between $t_1$ and $t_2$ and between $t_3$ and $t_4$.

"Instantaneous versus average velocity?"

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