A rock falls from rest a vertical distance of 0.72 meter to the surface of a planet in .63 seconds. What is the magnitude of acceleration due to gravity on the planet?
the formula to be applied is : y = ut + .5a(t sqr) u = 0 here. Try this, convey doubts if any.
what does y, u , t stnd for?
y is the displacement along the vertical direction ( which I have assumed as the y-axis ) u = initial velocity of the particle t is the time involved.
and where does the .5 come from?
ok, this is formula derived using some calculus. You want to know the derivation ?
sure!
wait either way i have to find acceleration not displacement
\[dv = adt \]Integrating this with proper limits ( i.e. v from initial velocity to final velocity and time similarly 0 to t ) The expression derived is \[v _{f} = v {_{i}} + at\]Next we use the expression derived above in\[dx = vdt\]Again integrating with proper limits we'll end up with the same formula I mentioned earlier.
okay i understand it now thankyou! could you help with another question please? i'll post it in a sec!
sure
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