A particle moves from x=0 to x=6m along a straight line under a force defined as follows:
• F=6N for 0≤x≤2m,
• F decreases linearly from 6N at x=2m to −4N at x=4m,
• F=−4N for 4≤x≤6m.
Find the average force acting on the particle over the entire 6m displacement.
a) 2N
b) −0.67N
c) 1N
d) 0.67N