Answer:
d = 20.2 m
t = 2.02 s
Explanation:
Horizontal Motion
When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled by gravity until it hits the ground.
To calculate the time the object takes to hit the ground, we use the equation:
[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]
Note the time does not depend on the initial speed.
The range or maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v.t[/tex]
The man standing on the edge of the h=20 m cliff throws a rock with a horizontal speed of v=10 m/s.
The time taken by the rock to reach the ground is:
[tex]\displaystyle t=\sqrt{\frac{2*20}{9.8}}[/tex]
[tex]\displaystyle t=\sqrt{4.0816}[/tex]
t = 2.02 s
Now for the horizontal range:
[tex]\displaystyle d=10\cdot 2.02[/tex]
d = 20.2 m
