I'm struggling to figure out velocity and understanding the formulas. My question I have to try and figure out is...

If a block of wood dropped from a tall building has reached a velocity of 78.4 m/s, how long has it been falling?

I just don't know how to figure it out? Can you explain please?

1 answer

you know that gravity provides constant acceleration. That means the the velocity grows by the same amount in equal time periods.

That is why g = 9.8 m/s^2

That means g = (9.8m/s)/s
Or, v grows by 9.8 m/s every second.

So, if v=9.8t after t seconds, then you want t where

9.8t = 78.4

Not so hard now, eh?
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