Answer:
The height of the wall is 45 m
Explanation:
Horizontal Motion
When an object is thrown horizontally with an initial speed v from a height h, the maximum horizontal distance traveled by the object, also called the range can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
If we know the range and want to calculate the height it was thrown from, we solve the equation for h:
[tex]\displaystyle h=\frac{d^2g}{2v^2}[/tex]
We'll use the approximate value of g=10\ m/s^2.
The stone was thrown from the top of a wall with a speed of v=15 m/s and it hits the ground d=45 m away from the base of the wall. Calculating:
[tex]\displaystyle h=\frac{45^2\cdot 10}{2\cdot 15^2}[/tex]
[tex]\displaystyle h=\frac{2025\cdot 10}{2\cdot 225}[/tex]
[tex]\displaystyle h=\frac{20250}{450}[/tex]
h = 45 m
The height of the wall is 45 m