University Physics Volume 1 — Mechanics · Problem 53

Units and Measurement — OpenStax

Physics — University · dimensional-analysis

Problem

Suppose quantity

s

is a length and quantity

t

is a time. Suppose the quantities

v

and

a

are defined by

v = ds/dt

and

a = dv/dt

. (a) What is the dimension of

v

? (b) What is the dimension of the quantity

a

? What are the dimensions of (c)

\int v\,dt

, (d)

\int a\,dt

, and (e)

da/dt