QuestionAugust 26, 2025

7. An object is dropped from a very tall bridge. If it takes 7.2 s to reach the ground below, how high is the bridge? square

7. An object is dropped from a very tall bridge. If it takes 7.2 s to reach the ground below, how high is the bridge? square
7. An object is dropped from a very tall bridge. If it takes 7.2 s to reach the
ground below, how high is the bridge?
square

Solution
4.5(261 votes)

Answer

254.016 m Explanation 1. Identify the known values The time t = 7.2 s, and acceleration due to gravity g = 9.8 \, \text{m/s}^2. 2. Use the formula for distance under constant acceleration **Formula:** d = \frac{1}{2} g t^2 3. Calculate the height of the bridge Substitute g = 9.8 \, \text{m/s}^2 and t = 7.2 \, \text{s} into the formula: d = \frac{1}{2} \times 9.8 \times (7.2)^2 4. Perform the calculation d = \frac{1}{2} \times 9.8 \times 51.84 = 254.016 \, \text{m}

Explanation

1. Identify the known values<br /> The time $t = 7.2$ s, and acceleration due to gravity $g = 9.8 \, \text{m/s}^2$.<br /><br />2. Use the formula for distance under constant acceleration<br /> **Formula:** $d = \frac{1}{2} g t^2$<br /><br />3. Calculate the height of the bridge<br /> Substitute $g = 9.8 \, \text{m/s}^2$ and $t = 7.2 \, \text{s}$ into the formula: <br /> $d = \frac{1}{2} \times 9.8 \times (7.2)^2$<br /><br />4. Perform the calculation<br /> $d = \frac{1}{2} \times 9.8 \times 51.84 = 254.016 \, \text{m}$
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