A rock falls from rest from a height of 490 m. How long does it take to reach the ground?

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Answer 1 · 2018-02-25T01:54:15

#10# seconds.

Using the falling objects equation, it states that

#d=1/2g\t^2#

Here, #t# is the time in seconds, #g# is the gravitational acceleration, and #d# is the distance.

Solving for #t#, we get

#t=sqrt((2d)/g)#

Now, plugging in the values, we get

#t=sqrt((2*490)/9.8)#

#t=sqrt((980)/9.8)#

#t=sqrt(100)#

#t=10# (since #t>0#)

So, the time taken will be approximately #10# seconds.