A car travels in the same direction with a bike which travels in the parallel contra lane. Originally the car is 120 m behind

 

A car travels in the same direction with a bike which travels in the parallel contra lane. Originally the car is 120 m behind the bike with a speed of 66 km/h while the bike is travelling at 40 km/h. The contra lane will merge with the main road 157 m ahead. If the car has a constant acceleration of 0.22 m/s while the bike has a constant deceleration of 0.65 m/s, determine: a) whether the car can successfully overtake the bike before the lane is merged and avoid any collision. (6 marks) b) the speed of both vehicles during the overtake.