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Physics questionbased on mathematical formula?
An object of mass m=1.0 kg experiences a force of the following mathematical form-
F(t)=ke^(-ct) where k=6.0 N, and c=0.101/s. At time t=0, the object has a velocity of v=2.0m/s and is at the origin. Where is this object after 20 seconds?
1 Answer
- ?Lv 77 years ago
∫ F dt gives you object's momentum as a function of time. Divide it by mass and you get velocity function.
Integrate velocity function and you get position as function of time.
Plug in the values and you'll get the answer.
NOTE:
By integrating, you'll get some constants. You'll find their values from initial conditions, that is:
x(0) = 0; v(0) = 2 m/s