hard cambridge rates question (1 Viewer)

[mathsbrain]

It's important to type or upload a copy of the question for users who don't carry the books in question. That way future members of the forum can look on to solutions without needing the textbook in front of them for the original question

The question is: A car is travelling C metres behind a truck, both travelling at a constant speed of V m/s. The road widens L metres ahead of the truck and there is an overtaking lane. The car accelerates at a uniform rate so that it is exactly alongside the truck at the beginning of the overtaking lane.
a) what is the acceleration of the car?
b) show the speed of the car as it passes the truck is V(1+2C/L).
c) the objective of the driver of the car is to spend as little time alongside the truck as possible. What strategies should the driver employ?
d) The speed limit is 100km/h and the truck is travelling at 90km/h, and is 50 metres ahead of the car. How far before the overtaking lane should the car begin to accelerate if applying the objective in part c)?

That is the full question, my first querry is how come the length of truck is not given?? Anyone who can do a full solution is greatly appreciated.

 

[math man]

Edit: i used a lower case c as a constant of integration in early question for v1 so it was not meant to be C

 

[Sy123]

That's not the question?

You didnt read the posts after that?