Question

An object’s position is described by the equation x=At-Bt^4+C . What are the dimensions of (a)A (b)B (c)C (d) Find the derivative of position dx/dt (e) What are the dimensions of the time derivative?

Answer 1

a)

$$[A]=LT^{-1}$$

b)

$$[B]=LT^{-4}$$

c)

$$[C]=L$$

d)

$$\frac{dx}{dt}=A-4Bt^3$$

e)

$$\left[\frac{dx}{dt}\right]=LT^{-1}$$