Let’s calculate Ms Jackson’s acceleration as she comes to a stop. Remember that the formula for acceleration is the change in velocity divided by the time it took. Ms. Jackson was rolling at a velocity of 6 m/s and stopped rolling at a velocity of 0 m/s. This change took her 4 seconds. What was her acceleration?

Explanation:

The acceleration of an object is equal to the change in velocity of the object divided by the time taken for the object to change the velocity:

where:

u is the initial velocity

v is the final velocity

t is the time taken for the velocity to change from u to v

For Ms Jackson in this problem, we have:

u = 6 m/s (initial velocity)

v = 0 m/s (final velocity)

t = 4 s (time elapsed)

Substituting into the equation, we find the acceleration:

And the negative sign indicates that the direction of the acceleration is opposite to the direction of motion.

explanation:

v=uf/(u-f)

= 5.-10/(5+10) convex lens has negative focal length

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 .