A particle moves along a straight line with velocity v(t) (in meters per second) for 0≤t≤10. A calculator gives the following numerical results:
∫010v(t)dt=−8and∫010∣v(t)∣dt=30.
Which statement best interprets these results?
a) The particle ends 8\,m to the right of its starting position and travels a total of 30\,m.
b) The particle ends 8\,m to the left of its starting position and travels a total of 30\,m.
c) The particle ends 22\,m to the right of its starting position.
d) The particle’s final position cannot be determined because the given data lose direction information.