Two toy cars hit each other and have a perfect bounce. The mass of the 1st car is 7kg and it is going 2 m/s before the collision and -6.33 m/s after the collision. The 2nd car (mass 5kg) starts by going -8 m/s before the bounce/crash. What is the velocity of the 2nd car after the bounce? (ignore friction/heat losses and round to the nearest 100th)

d is the answer i came up with

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 .

total distance/total time

(85 + 82)/(5+3)

167/8

20 just over