Answer:
The time taken by the projectile to hit the ground is 6.85 sec.
Explanation:
Given that,
Vertical height of cliff = 230 m
Distance = 300 m
Suppose, determine the time taken by the projectile to hit the ground.
We need to calculate the time
Using second equation of motion
![s=ut+\dfrac{1}{2}gt^2](https://tex.z-dn.net/?f=s%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dgt%5E2)
Where, s = vertical height of cliff
u = initial vertical velocity
g = acceleration due to gravity
Put the value in the equation
![230=0+\dfrac{1}{2}\times9.8\times t^2](https://tex.z-dn.net/?f=230%3D0%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes9.8%5Ctimes%20t%5E2)
![t=\sqrt{\dfrac{230\times2}{9.8}}](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B%5Cdfrac%7B230%5Ctimes2%7D%7B9.8%7D%7D)
![t=6.85 sec](https://tex.z-dn.net/?f=t%3D6.85%20sec)
Hence, The time taken by the projectile to hit the ground is 6.85 sec.