A 1.5 m tall car drives straight away from a 20 m tall building that is illuminated…
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A 1.5 m tall car drives straight away from a 20 m tall building that is illuminated by the afternoon sun so that the car and the building share a common shadow on the ground. At the instant when the car is 30 m from the building, the combined shadow (from the base of the building to the tip of the car’s shadow) is lengthening at 2.4 m/s. Calculate the speed of the car at that instant (in m/s).