Acar with a hanging mass attached to the ceiling starts from rest up a hill and the driver never presses on the gas or the brakes. once reaching the bottom of the hill the road levels out horizontally for a short distance then curves around a flat 30-m-radius circular path. while the car is rounding the curve the hanging mass makes an angle of 30˚ with respect to the vertical. if you assume no energy is lost to friction, what height must the car have started from?

1/0.14nm = 10^10/1.4 a lot

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 .

the ima (higher than 1m) will be greater than the ima with the height of 1m.