Height of the Bridge: 44.1 Meters

A marble dropped from a bridge and strike the water in exactly 3 seconds. How high is the bridge? Group of answer choices

44.1 sec

4.1 m

44.1 m

0.41 m

To find the height of the bridge from which the marble was dropped, we can use the formula for the distance fallen under the influence of gravity:

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

where:

• ( d ) is the distance (height of the bridge),
• ( g ) is the acceleration due to gravity (approximately ( 9.81 , \text{m/s}^2 )),
• ( t ) is the time in seconds (3 seconds in this case).

Plugging in the values:

[ d = \frac{1}{2} \times 9.81 , \text{m/s}^2 \times (3 , \text{s})^2 ] [ d = \frac{1}{2} \times 9.81 \times 9 ] [ d = \frac{1}{2} \times 88.29 ] [ d = 44.145 , \text{m} ]

Rounding to one decimal place, the height of the bridge is approximately ( 44.1 , \text{m} ).

So, the correct answer is 44.1 m.