#$&*
course phy 121
9/30 around 4:20
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?
A = 11 cm/s^2
`dt= .131s
`ds = 7.9cm
`ds = v0`dt + .5 a`dt^2
Ds - .5 a`dt^2 / `dt = v0
V0 = 7.9cm - .5(11cm/s^2)(.131)^2 / .131s
= 7.9cm -0.0944 /.131s
= 59.58 cm/s
Vf= v0 +a`dt
= 59.58cm/s + 11cm/s^2(.131s)
= 61.021cm/s
"
Good, but you also have to consider acceleration -11 cm/s^2. You were given the magnitude of the acceleration, not its direction.
The main benefit of negative acceleration is that it will bring the object to rest, so you can find its maximum distance up the ramp.
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