The velocity of a particle moving along a straight line varies with time according to…
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
The velocity of a particle moving along a straight line varies with time according to the relation v=3t−6 (in SI units) for 0≤t≤4s. The particle is at the origin at t=0.
(i) Find the instant when the particle reverses its direction of motion.
(ii) Calculate the displacement of the particle from t=0 to t=4s.
(iii) Determine the total distance travelled by the particle in the same interval.