Taking the derivative again with respect to time will give us acceleration: Now we have an equation for y-velocity as a function of time.
^Notice how in step 4 I replaced x with its function for time: vx*t We can use this in combination with the rate of change of x with respect to time(which is the same thing as x-velocity): Hence, we need to find the rate of change of y with respect to x to find the rate of change of y with respect to time(VELOCITY) to find the rate of change of velocity with respect to time(ACCELERATION = g)įirstly, the rate of change of y with respect to x, using basic calculus: The definition of velocity is the rate of change of displacement(y in this case). Calculating gravityThe definition of acceleration is the rate of change of velocity.
