Answer:
The distance reached is 14.3 m.
Explanation:
To find the distance reached by the diamond first we need to find the flight time:
[tex] t_{v} = \sqrt{\frac{2h}{g}} [/tex]
Where:
h: is the height = 10m
g: si the gravity = 9.81 m/s²
[tex] t_{v} = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2*10 m}{9.81 m/s^{2}}} = 1.43 s [/tex]
Now, we can find the distance reached:
[tex] x = V_{0_{x}}*t_{v} [/tex]
Where:
[tex]V_{0_{x}}[/tex] is the initial horizontal velocity = 10 m/s
[tex] x = V_{0_{x}}*t_{v} = 10 m/s*1.43 s = 14.3 m [/tex]
Therefore, the distance reached is 14.3 m.
I hope it helps you!
