2.4 Constant Acceleration

First off constant acceleration means, as it states, your acceleration will stay the same no matter what. However,  does this mean that our velocity will stay the same too? No. In fact, our velocity will be increasing, either in the positive direction or in the negative direction.

So the equation for constant x-acceleration we should know is:
x-velocity = (x-velocity at time = 0) + (the product of x-acceleration and the time interval)

I do not have any equation tools on Blogger so we will have to stick to this.

Another equation is when the constant acceleration has a x-velocity that changes at a constant rate.
This equation will be expressed as

average x-velocity = (initial velocity + later time velocity)/ (2)

However this equation will fail if the velocity changes over time. The equation we must express is:
average x-velocity = initial velocity + .5(the product of x-acceleration and the time interval)

Seems pretty straight forward but anyone can screw this up quick. Pay attention to details. Now we can combine all of these equations to form one equation..

x = initial position + (the product of initial velocity and a later  time) + ((.5) (the product of acceleration and time ^2)

Here are some other equations that relate to constant acceleration. Each equation has something different about it. One may include time and not include acceleration. You must distinguish between the two when doing problems.

V_x² = V_0x² +2a_x(x-x_o)

x-x_o = ((V_ox + V_x ) / (2))