course Phy 201
An object is given an unknown initial velocity up a long ramp on which its acceleration is known to have magnitude 11 cm/s^2. .131 seconds later it passes a point 7.9 cm up the ramp from its initial position.
What are its possible initial velocities, and what is a possible scenario for each?
What is the maximum distance the object travels up the ramp?
First we can take the `ds and divide by `dt to get vAve 7.9cm/.131s=60.3cm/s. The we can take a and multiply by `dt to get
`dv which is 11cm/s^2*.131=1.44cm/s.Since we know the vAve and `dv we can find v0 and vf. If we take 1.44 and split it in
half and add to both sides of 60.3 we get v0=59.58 and vf=61.02. If it keeps accelerating at 11cm/s^2 then I dont know how
far it will go.
I'm really not for sure. I guess if we figure in acceleration of gravity we could get another. I may be making this problem
harder then what it is.
The problem gave you only the magnitude of the acceleration. You can assume acceleration to be either positive or negative, and should consider both possibilities.
It appears you have only considered the first possibility. What therefore happens when they acceleration is negative?