A particle moves along the x-axis with velocity v(t) = t2 - 1, with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled...

Question

A particle moves along the x-axis with velocity v(t) = t² - 1, with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = 2 seconds.

A	0.667
B	2
C	4
D	None of these

Answer 1

velocity v(t) = t² - 1

The distance formula would be the integral of this = t³/3 - t , so when t=2,

distance = 8/3 - 2 = 0.667 so A is the answer.