To determine how long it takes for the hammer to reach the ground, we can use the equation for free fall:
\[ h = \frac{1}{2} g t^2 \]
where:
- \( h \) is the height (125 meters)
- \( g \) is the acceleration due to gravity (-9.8 m/s\(^2\))
- \( t \) is the time it takes to reach the ground (unknown)
Rearranging the equation:
\[ t^2 = \frac{2h}{g} \]
Substituting the given values:
\[ t^2 = \frac{2 \times 125}{9.8} \]
\[ t^2 = \frac{250}{9.8} \]
\[ t \approx 5.05 \]
Therefore, it will take approximately 5.05 seconds for the hammer to reach the ground.
A carpenter working at a construction site mistakenly drop his hammer at a height of 125 metres. How long does it take to reach the ground
1 answer