- #1
ssjcory
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Homework Statement
The problem is labeled Variable Acceleration.
The acceleration of a marble in a certain fluid is proportional to the speed of the marble squared and is given (in SI units) by the expression Ax = -3.00 Vx^2. If the marble enters this fluid with a speed of 1.50 m/s, how long will it take before the marble's speed is reduced to one-half of it's initial value.
Homework Equations
I'm not sure (I suspect that the equations of motion are used?)
The Attempt at a Solution
The professor has given us the answers so the answer is .222 seconds.
I am not able to attempt a solution I can only restate the variables in more readable terms.
Final speed (Vf) = .75
Initial speed (V0) = 1.50
Initial time (T0) = 0
Initial position(X0) = 0
Equation for var accel (Ax) = -3.00 Vx^2
Final time (Tf) = ? this is the goal
I know the problem has to do with integration but I'm not sure where to start.
Can someone help me out?
Thanks,
Cory