- #1
inaiki
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Homework Statement
This problem showed up in my final review packet, and I /think/ it should be basic kinematics, but I don't even know how to approach it with the second half of it.
An object moves according to the equation x = vt + ke^(bt), where k, v, and b are constants, x represents distance in meters, t represents time in seconds, and e is the base of the natural logarithms.
a. Find the initial velocity (at time t=0)
b. Find the acceleration at t = 1/b seconds.
Homework Equations
x = vt + .5at2
The Attempt at a Solution
a: I assumed inital velocity would just be v... but the answer key says it's supposed to be v + kb.
b: Since the equation given was similar to the format of x = vt + .5at2, I made the (questionable, I think) assumption that kebt = .5at2.
Plugging in t = 1/b,
.5a(1/b2) = keb/b
a = 2keb2
This one was closer to the actual answer of keb2, but still wrong and I'm very lost now.
I feel like I went in the completely wrong direction with this... any pointers?