Inverse Fourier Transform From Plots (2019 edition)
That's actually a fairly a tricky one. Two ways you can go about it

Method 1


Magnitude is that of a ideal lowpass filter. Inverse of that is sinc function
Phase is that of an hilbert transformer (times -1). Impulse response is (roughly) $1/\pi t$
convolve the two


Method 2


Write out the equation for inverse Fourier transform
Pop in values from the graph and simplify a bit
You get either sum or integral for unity amplitude sine waves up to $\omega_{0}$


Neither one is pretty.