Ahammer is dropped and it falls for 9 seconds 9 seconds before hitting the ground. determine how far it falls, assuming an acceleration due to gravity of − 9.8 m/s 2 −9.8 m/s2 and no wind resistance.

396.9 meter

Step-by-step explanation:

If a represents the acceleration,

Then according to the question,

a = -9.8 m/s²,

    ( acceleration = change in velocity with respect to time ),

Integrating both sides,

When t = 0 seconds, v = 0 m/s,

( velocity = change in position with respect to time ),

Integrating again,

When t = 0 , x = 0 meters,

Hence, the final equation that shows the position of the hammer after t seconds,

If t = 9 seconds,

 ( negative sign shows the fall ),

Therefore, it will fall 396.9 meter in 9 seconds

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