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german
4 years ago
8

Figure 1.18 (Chapter 1) shows the Hoover Dam Bridge over

Physics
1 answer:
stiks02 [169]4 years ago
6 0

Answer: 7.436 s

Explanation:

This situation is related to vertical motion, specifically free fall and can be modelled by the following equation:

y=y_{o}+V_{o} t+\frac{gt^{2}}{2}  

Where:

y= 0m is the final height of the object (when it makes splash)

y_{o}=271 m  is the initial height of the object

V_{o}=0 m/s  is the initial velocity of the object (it was dropped)

g=-9.8m/s^{2}  is the acceleration due gravity (directed downwards)

t is the time since the objecct is dropped until it makes splash

0=y_{o}+0+\frac{gt^{2}}{2}  

Clearing t:

t=\sqrt{\frac{-2y_{o}}{g}}  

t=\sqrt{\frac{-2(271 m)}{-9.8m/s^{2}}}  

Finally:

t=7.436 s  

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