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To the nearest tenth of a second, how much time would it take the penny to hit the
ground?

A. 0.5 seconds
B. 0.6 seconds
C. 0.7 seconds
D. 0.8 seconds

To the nearest tenth of a second how much time would it take the penny to hit the ground A 05 seconds B 06 seconds C 07 seconds D 08 seconds class=

Respuesta :

B. 0.6 seconds

Because they want you to round to the nearest 10th and 0 is the ground.

Answer:

Option B. 0.6 seconds

Step-by-step explanation:

As given in the table at time t = 0 the maximum height of the penny is 2 meters.

In simpler way we can say the penny has been throw from a height of 2 meters.

Now this process can be represented by the equation of motion

[tex]h=ut+\frac{1}{2}gt^{2}[/tex]

For free fall u = 0

So [tex]h=\frac{1}{2}gt^{2}[/tex]

where h = 2 meters

and g = 9.81 m/sec²

By putting these values in the equation

[tex]2=\frac{1}{2}(9.81)(t)^{2}=4.905t^{2}[/tex]

[tex]t^{2}=\frac{2}{4.905}=0.4077[/tex]

t = √0.4077 = 0.6385 seconds

or t = 0.6 seconds

Answer is option B. 0.6 seconds