Answer:
The answer is -2.25 units.
Explanation:
Total displacement of particle moves in a straight line with the given velocity v(t) = 2t−2 − 2 will be:
[tex]x=\int\limits^2_{0.5} {2t-2-2} \, dt\\x=\int\limits^2_{0.5} {2t} \, dt+ \int\limits^2_{0.5} {-4}\, dt \\x=3.75-6\\x=-2.25[/tex]