How To Know When To Use Which Motion Equation

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The discussion clarifies when to use the motion equations Distance = Velocity x Time and Distance = v1t + 1/2at^2. The second equation is necessary when there is constant acceleration, as it accounts for changes in velocity. If there is no acceleration, the first equation can be used, as it simplifies to the same form as the second equation when acceleration is zero. Participants emphasize that both equations can be applied depending on the conditions of motion. Understanding the presence or absence of acceleration is key to choosing the correct equation.
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Homework Statement


I never know when to use either Distance = Velocity x Time or when to use Distance = v1t + 1/2at^2. Please help me and explain when i have to use which
 
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justinh8 said:

Homework Statement


I never know when to use either Distance = Velocity x Time or when to use Distance = v1t + 1/2at^2. Please help me and explain when i have to use which

The second equation adds in the last term to account for the effect of a constant acceleration "a". If there is no acceleration, there is no change in velocity. If there is a constant acceleration (like from gravity), you need that extra term.
 
hi justinh8! :smile:

they're the same …

if you put a = 0 into s = v1t + 1/2at2,

you get s = v1t (which is really s= vt, since v is constant if a = 0) :wink:

so you can always use the 2nd one, and you can use the first one if the speed is constant (ie if the acceleration is 0) :smile:
 
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