I have a sack 5 mtrs off the ground. Assuming acceleration of 10mtrs per second per second, how do I calculte when it will land. ie time to fall?
Virtually all one dimensional kinematics problems can be solved in the same way. Since there are 2 relevant equations:
Df=1/2*a*t^2+Vo*t+Do and Vf=a*t+Vo
Which consist of 6 distinct variables:
Do, Df, Vo, Vf, a and t.
Any time you can determine 4 of these variables, you can always solve for the other 2. (with 2 equations you are permitted 2 unknowns!)
In this case the variables are:
Do=5.0m (given), Df=0m (the object hits the ground), Vo=0m/s (the object starts from rest), Vf=? (unknown), a=g=-10m/s^2 (given, the acceleration of gravity) and t=? (unknown, the answer to the problem!)
Using the Df final equation:
Therefore, solving for the time: