Time for Golf Ball to Hit Ground from 10m

If a golf ball is released from a height of 10 meters, how long would it take for it to hit the ground? Group of answer choices

5 seconds

10 seconds

1.4 seconds

14 seconds

To determine how long it takes for a golf ball to hit the ground when released from a height of 10 meters, we can use the formula for the time of free fall under the influence of gravity:

[ h = \frac{1}{2} g t^2 ]

where:

• ( h ) is the height (10 meters),
• ( g ) is the acceleration due to gravity (approximately ( 9.81 , \text{m/s}^2 )),
• ( t ) is the time in seconds.

Rearranging the formula to solve for ( t ):

[ t^2 = \frac{2h}{g} ]

Substituting the values:

[ t^2 = \frac{2 \times 10 , \text{m}}{9.81 , \text{m/s}^2} \approx \frac{20}{9.81} \approx 2.04 ]

Now, taking the square root:

[ t \approx \sqrt{2.04} \approx 1.43 , \text{seconds} ]

Rounding this, we find that it takes approximately 1.4 seconds for the golf ball to hit the ground.

Therefore, the correct answer is **1.4 seconds