What acceleration is required to go from one velocity to another?
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Say I have one velocity a, and I want to go from another velocity b, how much acceleration do I need to apply? Is there a formula for this? The reason I ask is because I am making a speed control module in a simple 2d racing game, where I know what speed I want the car to go at but I need to know what acceleration to apply to get it there. I actually defined velocity as the distance from the car’s previous position to the current position. I just use Pythagorean theorem to get this distance. So it is displacement per game tick. Yeah I know it is odd, but is the only way I could think to define it. Also the system is very simple, there is no wind-resistance, skidding or anything. The acceleration is capped at minimum and maximum values, but I at least want to be able to use these max values when I need to. Thanks so much, Magi Tek
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Answer:
You have : --------------------------------------... a = acceleration a = ( v sub b - v sub a ) / ( time ) In your case, you may want : a = ( V sub b - v sub a ) / ( tick )
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Other answers
yes, there is. But you forgot an important variable : time. The equation I used in my 3U physics was: Acceleration=[ Second velocity - first velocity ] / delta time or change in time hope that helps...
Kayla Jakobsson
You have : --------------------------------------… a = acceleration a = ( v sub b - v sub a ) / ( time ) In your case, you may want : a = ( V sub b - v sub a ) / ( tick )
donpat
You really need to understand the physics and not bother with memorizing equations. By definition (the physics) acceleration is the change in velocity over an interval of time. What is your change in velocity? Va to Vb if I read your question correctly. So the change in velocity, the difference, is Vb - Va = dV; where dV connotes change in velocity. So we have part of the definition for acceleration. We are missing the interval of time. And that's not specified by your question. So you can just choose whatever interval you want. Shorter interval means A = dV/dt and longer interval means a = dV/dT where a < A are the accelerations. As you can see, for a given change in velocity dV, the interval makes a big difference in the rate of acceleration. Note that A = dV/dt = (Vf - Vb)/dt so that Adt = Vf - Vb and Vf = Vb + Adt, which you should recognize as one of the several kinematic equations. We derived this from knowing the physics, which is why it's best to learn the physics. You can always derive whatever equations you need if you know the physics.
oldprof
A simple definition of acceleration is: (final_speed − initial_speed) / (elapsed time) If you are doing all of your accelerating in a single "game tick", then the denominator is "1"; otherwise divide by the number of game ticks it takes you to change speed. Conversely, if you already know you have a certain acceleration, then you can rearrange the equation to find the new speed: final_speed = initial_speed + (acceleration) × (elapsed_time)
RickB
You really need to understand the physics and not bother with memorizing equations. By definition (the physics) acceleration is the change in velocity over an interval of time. What is your change in velocity? Va to Vb if I read your question correctly. So the change in velocity, the difference, is Vb - Va = dV; where dV connotes change in velocity. So we have part of the definition for acceleration. We are missing the interval of time. And that's not specified by your question. So you can just choose whatever interval you want. Shorter interval means A = dV/dt and longer interval means a = dV/dT where a < A are the accelerations. As you can see, for a given change in velocity dV, the interval makes a big difference in the rate of acceleration. Note that A = dV/dt = (Vf - Vb)/dt so that Adt = Vf - Vb and Vf = Vb + Adt, which you should recognize as one of the several kinematic equations. We derived this from knowing the physics, which is why it's best to learn the physics. You can always derive whatever equations you need if you know the physics.
oldprof
A simple definition of acceleration is: (final_speed − initial_speed) / (elapsed time) If you are doing all of your accelerating in a single "game tick", then the denominator is "1"; otherwise divide by the number of game ticks it takes you to change speed. Conversely, if you already know you have a certain acceleration, then you can rearrange the equation to find the new speed: final_speed = initial_speed + (acceleration) × (elapsed_time)
RickB
yes, there is. But you forgot an important variable : time. The equation I used in my 3U physics was: Acceleration=[ Second velocity - first velocity ] / delta time or change in time hope that helps...
Kayla Jakobsson
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