determine the displacement vector that must be added to the displacement) 25-16) m to give a displacement of 7m pointing in the positive x-direction?

what direction is the 25-16 vector in?

I'm assuming the given vector is <25,-16>

So, you want a vector pointing in the +x direction, where y=0. So,

<-18,+16> will do the trick. Adding the two gives

<7,0>

A feather has a mass of 0.05 kg. It falls to ground while experiencing air resistance of 0.3 N. What¡¯s the actual acceleration of the feather?

0.21

To determine the displacement vector that must be added, we need to find the difference between the desired displacement and the initial displacement.

The initial displacement is given as 25 - 16 m.

To find the difference between the desired displacement and the initial displacement, we subtract the initial displacement from the desired displacement.

The desired displacement is given as 7 m in the positive x-direction.

So, the difference between the desired displacement and the initial displacement is:
(7 m in the positive x-direction) - (25 - 16 m)

Simplifying this expression gives us:
7 m - 25 m + 16 m = -2 m

Therefore, the displacement vector that must be added to the initial displacement of (25 - 16) m to give a displacement of 7 m pointing in the positive x-direction is -2 m in the x-direction.