16. A certain force applied to a 2 kg mass accelerates the mass at 3 m/sHow much acceleration will the same force produce on a 4 kg mass?

1.5  m/s²

Explanation:

Force = mass X acceleration

OR, you could rearrange the equation to see that

Force divided by Mass equals Acceleration.

F

 =  A    So if you are doubling the Mass, the Acceleration would

M              get cut in half.

As an example:    if F=4 and M=1 the acceleration is 4

                             if F=4 but M=2, the acceleration is now 2

So the answer will be half of 3 which is 1.5

its answer is 1.5 m/s².

Explanation:

F =m × a

F= 2×3

F = 6

In the second case, force is given  and mass is also given. So we have to find the acceleration by applying the same formula

F = m× a

6 =4 × a

6÷4 = a

1.5 m/s² = a

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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 .