Given total time of given acceleration to get final velocity?

AI Thread Summary
To find the final velocity when acceleration is constant, multiply acceleration by time and add the initial velocity using the formula v = v_0 + a t. For calculating distance, use the average velocity multiplied by total time, which can be derived from the kinematic equations. If acceleration is not constant, integration of acceleration with respect to time is necessary to determine velocity. Understanding these concepts is crucial for solving kinematic problems effectively. This knowledge is essential for exam preparation.
pebbles
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can i just multiply the acceleration by time to get the final velocity? and then, if i wanted to get distance with the same three variables-time, acceleration, and velocity, would i just multiply velocity by total time i am given?



thanks in advance. I'm trying to clear some things up before my exam on thursday.
 
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pebbles said:
can i just multiply the acceleration by time to get the final velocity?
If the acceleration is constant:
v = v_0 + a t

and then, if i wanted to get distance with the same three variables-time, acceleration, and velocity, would i just multiply velocity by total time i am given?
The change in displacement will equal average velocity times the time.

Review the kinematic equations here: Basic Equations of 1-D Kinematics

Or here: http://hyperphysics.phy-astr.gsu.edu/hbase/mot.html#mot1
 
what if acceleration isn't constant?
 
You would need to integrate acceleration with respect to time.

v = integrate[a dt]
 
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