MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
On the interval 0≤t≤π, the velocity of a particle is v(t)=bcost, where b is a real constant. The particle starts at position s(0)=0 meters and ends at s(π). For which values of b will the particle end at its starting position?
(a) Only b=1
(b) Only b=0
(c) Any real value of b
(d) Only b=π