Question

The position of an object is given by x = bt3

a.if x and t are meters and seconds respectively, what are the units of b?
b.what is the instantaneous velocity at time t?
c.find the average velocity from t = 0 to t = t

Answer 1

a. according to principle of homogeneity

[x] = [b] [t^3]

[b] =[x]/[t^3]

[b] = [MT^-3]

unit of b = m /s^3

b.

dx/dt = d(bt^3)/dt

v = 3bt^2