A. write the given equation in slope-intercept form (y=mx +b). B. then verify th

Question

A. write the given equation in slope-intercept form (y=mx +b).

B. then verify that the dimensions of the resulting equation are consistent

C. list the slope and intercept for the equation

s = v0t + (a/2)t2, where t is the independent variable with dimensions of time, s is the displacement with dimensions of length, v0 is initial velocity with dimensions of length per time, and a is acceleration with dimensions of length per time squared. (Hint: recall the fouth rule of linearization. If you can define the dependent variable in terms of the independent variable, it is still a known quantity.)

Explanation / Answer

Differentiating the equation w.r.t time

S=V0t+1/2 a t^2

dS/dt = d/dt (V0t+1/2 a t^2)

V = V0 + a*t

Rearranging as Y=mX+C

V= at+V0

B. Dimensions of the above equation LT^-1 balanced both sides

C. Slope is a(=acceleration)

Intercept is V0(=initial velocity)

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