Formula for Velocity & Acceleration - Katie

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The formula for velocity is defined as v(t) = dx/dt, representing the rate of change of position over time. Acceleration is given by a(t) = dv/dt or a(t) = d²x/dt², indicating the rate of change of velocity. Average velocity can be calculated using <Velocity> = Δdistance/Δtime, while average acceleration is <Acceleration> = ΔVelocity/Δtime. It's important to note that velocity is a vector quantity, incorporating both magnitude and direction, whereas speed is a scalar. The discussion clarifies the distinction between instantaneous and average values for both velocity and acceleration.
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velocity formula...

could anyone tell me the formula for velocity?
and acceleration?

thanks,
Katie
 
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What do you mean??
If x(t) is a particle's position at time "t", then the velocity of the particle, v(t), is given by:
v(t)=\frac{dx}{dt}
That is, the velocity of the object is the rate of change of the position.

Similarly, acceleration, a(t) is the rate of change of velocity, that is:
a(t)=\frac{dv}{dt}=\frac{d^{2}x}{dt^{2}}
Was this what you were after?
 
Acceleration = (Initial Velocity x Final Velocity) divided by time, or
a = (vf-vi) divided by t

Velocity = d/t or distance divided time.

However since velocity is a vector quantity (meaning it has magnitude(size), and direction) the d/t doesn't provide you with direction. Depending on the level of physics your doing, you might not be required to have a direction with velocity.
 
Velocity is equal to displacement (a vector, as opposed to distance, a scalar) over time. Speed is equal to distance over time.
 
\Delta=change in

Formula for Average Velocity and Acceleration

<Velocity> = \frac{\Delta distance}{\Delta time}

<Acceleration> = {\frac {\Delta Velocity}{\Delta time}}
 
Last edited:
Change "velocity" to "average-velocity". :wink:
Change "acceleration" to "average-acceleration". :wink: :wink:
 
true

I was assuming you weren't talking about instanious velocity or acceleration
 
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