To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge? Neglect air
Resistance.
A) 26 m
B) 52 m
C) 14 m
D) 32 m
E) 10 m

Question

Quizplus · Accepted Answer

The height of the bridge can be calculated using the formula for the distance covered under free fall: $d = \frac{1}{2}gt^2$, where $g = 9.8 \, \text{m/s}^2$ is the acceleration due to gravity and $t$ is the time in seconds. Plugging in the given time, $t = 2.3 \, \text{s}$, we get $d = \frac{1}{2} \times 9.8 \times (2.3)^2 \approx 25.97 \, \text{m}$, which rounds to approximately 26 m.

To Determine the Height of a Bridge Above the Water