92 ATTA KAY PHYSICS VOL 1
Question 8
Two cars A and B at rest took off from a spot towards
a town. Car A was the first to take off at 2ms 2. Car B
took off 5s later and travelled at 3.4ms.
(a) Calculate when the two cars met.
(6) Find where the two cars mct.
(c) What are the velocities of the cars when they met.
Solution
Car A
Kママです!​

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .