Car A and Car B are moving along the same straight road in the same direction
PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line
Problem
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.
(i) Write expressions for the displacements of Car A and Car B from Car B’s initial position as functions of time t.
(ii) Determine the time at which Car B overtakes Car A.
(iii) Calculate the distance from Car B’s starting point at which the overtaking occurs.
(iv) Find the speed of Car B at the instant it overtakes Car A.