A particle moves along a straight line with velocity given by (in m/s).
MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A particle moves along a straight line with velocity given by v(t)=5t−t2 (in m/s).
(i) Calculate its instantaneous acceleration at t=1s and at t=3s.
(ii) For each of these instants, state whether the particle is speeding up or slowing down and justify your answer using the signs of velocity and acceleration.