Step-by-step explanation:
It is given that,
The angle of projection is 60 degrees
Initial velocity of the ball is 120 m/s
We need to find the time taken to get to the maximum height and the time of flight.
Time taken to reach the maximum height is given by :
![T=(u^2\sin^2\theta)/(2g)](https://img.qammunity.org/2021/formulas/physics/high-school/i10vsay2ieqtpp9kkdb1wyzdc3zgjkztwg.png)
g is acceleration due to gravity
![T=((120)^2* \sin^2(60))/(2* 10)\\\\T=540\ s](https://img.qammunity.org/2021/formulas/physics/high-school/1t9c73z6hnjoexmtp50s7selwxamn6b5xl.png)
(ii) Time of flight,
![t=(2u\sin\theta)/(g)](https://img.qammunity.org/2021/formulas/physics/high-school/uqi56kt2joyjebohoqq9uljnjublks7bqs.png)
So,
![t=(2* 120* \sin(60))/(10)\\\\t=20.78\ s](https://img.qammunity.org/2021/formulas/physics/high-school/4mnp62l2n10jtipevsmpdsdfl83f48duuv.png)
Hence, this is the required solution.