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Kaylis [27]
3 years ago
5

A 100g object begins falling from a height of 5 meters. If g, the acceleration of gravity, is 10 m/s2, how long do you calculate

it will be before the object reaches the ground? (Recall the formula for distance with constant acceleration from zero speed is ½at2.) 0.5 s 1.0 s 5.0 s 10 s 50 s
Physics
1 answer:
zmey [24]3 years ago
7 0

Answer:

The correct option is b: 1.0 s.

Explanation:

To find the time (t) at which the object reaches the ground we need to use the next equation:

y_{f} = y_{0} + v_{0}t - \frac{1}{2}gt^{2}   (1)

Where:

y_{f}: is the final height = 0                    

y_{0}: is the initial height = 5 m

v_{0}: is the initial speed = 0 (it falls from rest)

g: is the gravity = 10 m/s²

By entering the above values into equation (1) we have:

0 = 5m - \frac{1}{2}10 m/s^{2}t^{2}

t = \sqrt{\frac{2*5 m}{10 m/s^{2}}} = 1 s

Therefore, the correct option is b: 1.0 s.

I hope it helps you!    

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