Aroller coaster, traveling with an initial speed of 15 meters per second, decelerates uniformly at –7.0 m/s2 to a full stop. approximately how far does the roller coaster travel during its deceleration?

 Roller coaster will travel 16.07 meter before coming to stop.

Explanation:

We have equation of motion, , where u is the initial velocity, u is the final velocity, s is the displacement and a is the acceleration.

In this case we have final velocity = 0 m/s, initial velocity = 15 m/s, and acceleration = -7 .

So, roller coaster will travel 16.07 meter before coming to stop.

e

explanation:

there is no change in the electric potential energy as it is in rest on both conditions.

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 .