a stone thrown horizontally from the top of a vertical wall with a velocity of 15m/s,hits the horizontal ground at a point 45m from the base of the wall. calculate the height of the wall. g =10m/s​

Respuesta :

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

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