Car A departs the origin heading due east at a steady 60 km/h
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
Car A departs the origin heading due east at a steady 60 km/h. Car B departs simultaneously heading due north at 45 km/h; exactly 1.0 h after departure, Car B begins to decelerate uniformly at 1.5 km/h² while continuing north. Calculate the acceleration (rate of change of the rate of change of the separation distance between the two cars) exactly 10 min after the deceleration begins. Express your answer in km/h² and include its sign.