If a train going 80 m/min hits the
brakes, and it takes the train 2.5
seconds to stop, what is the
train's acceleration?

-0.53 m/s²

Explanation:

Acceleration is the change in velocity over change in time.

a = Δv / Δt

First, convert m/min to m/s.

80 m/min × (1 min / 60 s) = 1.33 m/s

a = (0 m/s − 1.33 m/s) / 2.5 s

a = -0.53 m/s²

which piece of furniture will have the most inertia and give the furniture movers the most difficulty in moving?  

answer

a 75kg dining table

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 .