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you are walking on a bridge and accidentally drop your cell phone. If the bridge is 61.3 m above the water, how long does it take the phone to hit the water?

Respuesta :

The time of flight is 3.54 s

Explanation:

The motion of the cell phone is a free fall motion (constant acceleration, [tex]g=9.8 m/s^2[/tex], towards the ground), since it is acted upon the force of gravity only: therefore, we can use the following suvat equation

[tex]s=ut+\frac{1}{2}at^2[/tex]

where:

s = 61.3 m is the vertical displacement of the phone

u = 0 is the initial vertical velocity

[tex]a=g=9.8 m/s^2[/tex] is the acceleration

t is the time of flight of the phone

Solving for t, we find:

[tex]t=\sqrt{\frac{2s}{g}}=\sqrt{\frac{2(61.3)}{9.8}}=3.54 s[/tex]

Learn more about free fall:

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Answer: 3.54s

Explanation: