Car A and Car B are moving along the same straight road in the same direction. At t=0, Car A is 100 m ahead of Car B and both cars are travelling at 15 m s−1. Starting at t=0, Car B accelerates uniformly at 2.0 m s−2, while Car A continues at constant speed.
a. (i) Write expressions for the displacements of Car A and Car B from Car B’s initial position as functions of time t.
b. (ii) Determine the time at which Car B overtakes Car A.
c. (iii) Calculate the distance from Car B’s starting point at which the overtaking occurs.
d. (iv) Find the speed of Car B at the instant it overtakes Car A.