Question

A stone dropped from a height of 40 meters. How long will it take to hit the ground?

Answer 1

The time it takes for an object to fall freely from a certain height can be determined using the equation for free fall:

$h=\frac{1}{2}g{t}^2$

Where:

• h is the height (in this case, 40 meters)
• g is the acceleration due to gravity (approximately 9.8 m/s^2)
• t is the time it takes for the object to fall

To find the time it takes for the stone to hit the ground, we can rearrange the equation to solve for t:

$t=\sqrt{\frac{2h}{g}}$

Substituting the given values:

$t=\sqrt{\frac{2\times 40}{9.8}}$

Calculating this equation gives us:

$t\approx 2.02\text{ seconds}$

Therefore, it will take approximately 2.02 seconds for the stone to hit the ground when dropped from a height of 40 meters, assuming no air resistance or other external factors.