P(t1,v0t1+1/2 at12) Q(t1+dt, v0(t1+dt)+1/2 a (t1+dt)2 ) What happens to the slope as dt goes to zero and the points merge so that you are finding the slope of a tangent line and instantaneous velocity? (You just used the definition of a derivative) Draw a graph of the derivative of x=v0t+1/2 at2. What physics quantity is the derivative/slope of this graph? What is an easy method to determine the instantaneous slope (derivative) of a graph that is respect to time?
P(t1,v0t1+1/2 at12) Q(t1+dt, v0(t1+dt)+1/2 a (t1+dt)2 ) What happens to the slope as dt goes to zero and the points merge so that you are finding the slope of a tangent line and instantaneous velocity? (You just used the definition of a derivative) Draw a graph of the derivative of x=v0t+1/2 at2. What physics quantity is the derivative/slope of this graph? What is an easy method to determine the instantaneous slope (derivative) of a graph that is respect to time?