- #1
andrey21
- 476
- 0
If we assume air resistance is negligible, the only force acting on a body is -Mg where g is the acceleration due to gravity ( negative because acting downwards). F = Ma becomes :
-Mg = M y''
which implies
y''=-g
Question asks find the general solution for y.
y is the distance above the ground of an object
y' is the vertical velocity
y'' is vertical accelaration
Here is what I have done so far:
y'' = -g, therefore y' = -gt + A
integrating again
y= -1/2 gt^2 + At + B
Am I correct so far or do I take gravity to be a constant such as x giving me an answer of:
y = -3/2 g^3 + At + B
-Mg = M y''
which implies
y''=-g
Question asks find the general solution for y.
Homework Equations
y is the distance above the ground of an object
y' is the vertical velocity
y'' is vertical accelaration
The Attempt at a Solution
Here is what I have done so far:
y'' = -g, therefore y' = -gt + A
integrating again
y= -1/2 gt^2 + At + B
Am I correct so far or do I take gravity to be a constant such as x giving me an answer of:
y = -3/2 g^3 + At + B