sportygirl5686 sportygirl5686
  • 17-03-2021
  • Mathematics
contestada

A construction worker drops a hammer from 25m. How long will it take for the hammer to hit the ground? H(t)= -4.9t^2 +v +h

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onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 19-03-2021

Answer:

the time taken for the hammer to hit the ground is 2.26 s.

Step-by-step explanation:

Given;

height through which the hammer falls, h = 25 m

The time taken for the hammer to hit the ground is calculated as;

[tex]h(t) = ut + \frac{1}{2} gt^2\\\\h(t) = 0 + \frac{1}{2} (9.8)t^2\\\\h(t) = 4.9t^2\\\\t = \sqrt{\frac{h(t)}{4.9} } \\\\t = \sqrt{\frac{25}{4.9} } \\\\t = 2.26 \ s[/tex]

Therefore, the time taken for the hammer to hit the ground is 2.26 s.

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