Ablock of mass m is at rest at the origin at t = 0. it is pushed with constant force fo from x= 0 to x=l across a horizontal surface whose coefficient of kinetic friction is μk = μo (1-x/l) that is, the coefficient of friction decreases from μo at x=0 to zero at x= l. we would like to know the velocity of the block when it reaches some position x. finding this requires an integration. however, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. to get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dvxdx.

you cant move and you feel like someones pushing you down onto your bed it can feel like you want to get up but you just can't it can be extremely scary

f=ma a/f/m a= 480/60 a = 8m/s/s that is quick wow

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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