Question

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​

Answer 1

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:

$\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}$

If we know the range and want to calculate the height it was thrown from, we solve the equation for h:

$\displaystyle h=\frac{d^2g}{2v^2}$

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:

$\displaystyle h=\frac{45^2\cdot 10}{2\cdot 15^2}$

$\displaystyle h=\frac{2025\cdot 10}{2\cdot 225}$

$\displaystyle h=\frac{20250}{450}$

h = 45 m

The height of the wall is 45 m