We have the equation of motion
, where s is the displacement, a is the acceleration, u is the initial velocity and t is the time taken.
Here displacement = 100 m, Initial velocity = 0 m/s, acceleration = 9.81
![m/s^2](https://img.qammunity.org/2019/formulas/physics/high-school/rll2dhyjm2pspdj4n8o3i488r7kr94ffe9.png)
Substituting
![100 = 0*t+(1)/(2) *9.8*t^2\\ \\ 100 = 4.9t^2\\ \\ t = 4.52 seconds](https://img.qammunity.org/2019/formulas/physics/middle-school/1ezanlaue0apj4ovpiwa0gfs3i47a57wg6.png)
A cannon ball is launched off a 100 m cliff horizontally with an initial horizontal velocity (Vx) of 50 m/s will take 4.52 seconds to reach the ground.