The answer is B.Red Giant
Red Giants are stars which already in a late stage of evolution. These stars no longer have enough hydrogen to fuel it's nuclear fusion
hope this helps
(a) At its maximum height, the ball's vertical velocity is 0. Recall that
![{v_y}^2-{v_{0y}}^2=2a_y\Delta y](https://tex.z-dn.net/?f=%7Bv_y%7D%5E2-%7Bv_%7B0y%7D%7D%5E2%3D2a_y%5CDelta%20y)
Then at the maximum height
, we have
![-\left(\left(46\,\dfrac{\mathrm m}{\mathrm s}\right)\sin36^\circ\right)^2=2\left(-9.8\,\dfrac{\mathrm m}{\mathrm s^2}\right)y_{\mathrm{max}}](https://tex.z-dn.net/?f=-%5Cleft%28%5Cleft%2846%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%7D%5Cright%29%5Csin36%5E%5Ccirc%5Cright%29%5E2%3D2%5Cleft%28-9.8%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29y_%7B%5Cmathrm%7Bmax%7D%7D)
![\implies y_{\mathrm{max}}=37\,\mathrm m](https://tex.z-dn.net/?f=%5Cimplies%20y_%7B%5Cmathrm%7Bmax%7D%7D%3D37%5C%2C%5Cmathrm%20m)
(b) The time the ball spends in the air is twice the time it takes for the ball to reach its maximum height. The ball's vertical velocity is
![v_y=v_{0y}+a_yt](https://tex.z-dn.net/?f=v_y%3Dv_%7B0y%7D%2Ba_yt)
and at its maximum height,
so that
![0=\left(46\,\dfrac{\mathrm m}{\mathrm s}\right)\sin36^\circ+\left(-9.8\,\dfrac{\mathrm m}{\mathrm s}\right)t](https://tex.z-dn.net/?f=0%3D%5Cleft%2846%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%7D%5Cright%29%5Csin36%5E%5Ccirc%2B%5Cleft%28-9.8%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%7D%5Cright%29t)
![\implies t=2.8\,\mathrm s](https://tex.z-dn.net/?f=%5Cimplies%20t%3D2.8%5C%2C%5Cmathrm%20s)
which would mean the ball spends a total of about 5.6 seconds in the air.
(c) The ball's horizontal position in the air is given by
![x=v_{0x}t](https://tex.z-dn.net/?f=x%3Dv_%7B0x%7Dt)
so that after 5.6 seconds, it will have traversed a displacement of
![x=\left(46\,\dfrac{\mathrm m}{\mathrm s}\right)\cos36^\circ(5.6\,\mathrm s)](https://tex.z-dn.net/?f=x%3D%5Cleft%2846%5C%2C%5Cdfrac%7B%5Cmathrm%20m%7D%7B%5Cmathrm%20s%7D%5Cright%29%5Ccos36%5E%5Ccirc%285.6%5C%2C%5Cmathrm%20s%29)
![\implies x=180\,\mathrm m](https://tex.z-dn.net/?f=%5Cimplies%20x%3D180%5C%2C%5Cmathrm%20m)