Horizontal circular motion questions:

1. if net force of an object is constant in magnitude and always directed perpendicular to its velocity, the speed of an object is
a. decreasing
b. increasing
c. zero
d. constant

2. the net force on a vehicle traveling at a constant speed on a curved path points
a. in the direction of motion
b. to the center of curvature
c. opposite the direction of motion
d. away from the center of curvature

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 .