A particle’s velocity is measured in meters per second

MATHEMATICS · Single correct · A Level · Mathematics · Quantities and units in mechanics · Quantities and units in mechanics

Problem

A particle’s velocity

v(t)

is measured in meters per second. When evaluating the definite integral

\int_{0}^{10} v(t)\,dt

, which of the following gives the correct units for the integral? (a)

\text{meters per second}

(b)

\text{meters}\,\cdot\,\text{seconds}

(c)

\text{meters}

(d)

\text{meters per second squared}