Velocity as a function of time?

AI Thread Summary
To determine the velocity of an object with a constant acceleration of 22.3 m/s² at an angle of 63.9 degrees East of South, one must derive a function v(t) that represents velocity over time. The relevant equation is v = v₀ + at, where v₀ is the initial velocity at time t=0 and a is the acceleration. It is crucial to recognize that velocity is a vector quantity, meaning both magnitude and direction must be considered. Clarification was provided that v₀ should not be confused with acceleration but rather the initial velocity. Understanding these concepts is essential for accurately calculating velocity as a function of time.
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if an object has an acceleration of 22.3 m/s^2 [63.9 degrees E of S]

what is its "velocity as a function of time"

not sure what that means.. any ideas?
 
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bullroar_86 said:
if an object has an acceleration of 22.3 m/s^2 [63.9 degrees E of S]

what is its "velocity as a function of time"

not sure what that means.. any ideas?

It means you have to find a function v(t) that relates the speed of the object, and the time elapsed.

Hint: The answer is in the definition of (constant) acceleration.
 
v=vnot+at
vnot equals acceleration from the beginning of the problem.
v= velocity at a given time.
 
ayalam said:
v=vnot+at
vnot equals acceleration from the beginning of the problem.
v= velocity at a given time.

No, in that equation, "vnot" has to be the velocity at t= 0. And be sure to note that the velocity is a vector, not just a number.
 

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