15 A graph indicating how the velocity, \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), of a particle changes with respect to time, \(t\) seconds, is shown below.
\includegraphics[max width=\textwidth, alt={}, center]{f4f303a2-f029-42be-93a0-046b0c81e3c0-18_565_1004_411_502}
15
- Find the total distance travelled by the particle over the 8 second period shown.
15 - A student claims that
"The displacement of the particle is less than the distance travelled."
State the range of values of \(t\) for which this claim is true.