Answer:
189.6 m
Explanation:
First of all, we study the vertical motion of the rocket in order to find the time it takes for it to land. The suvat equation for the vertical motion is
where, taking downward as positive direction:
s = 110.0 m is the vertical displacement
u = 0 is the initial vertical velocity
g = 9.8 m/s^2 is the acceleration of gravity
t is the time of flight
Solving for t,
Now we can just analyze the horizontal motion, which is a uniform motion with constant velocity, which is equal to
So the distance travelled horizontall after a time t is
So, when the rocket lands (t = 4.74 s), the horizontal distance travelled is
Therefore, the rocket lands 189.6 m far from the edge of the cliff.