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Introductory Physics Homework Help
Solving Boat Speed & Distance with Drag Force
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[QUOTE="Macykc2, post: 5678436, member: 613850"] [h2]Homework Statement [/h2] A boat with initial speed v[SUB]o[/SUB] is launched on a lake. The Boat is slowed by the water by a force F=-αe[SUP]βv[/SUP]. Find an expression for the speed v(t), and find the time and distance for the boat to stop. [h2]Homework Equations[/h2] Drag force F=-αe[SUP]βv[/SUP] alpha and beta are not specified as to what they represent. [h2]The Attempt at a Solution[/h2] I have an attached attempted solution, I'm just kind of confused on my results, I feel like it makes sense but at the same time it doesn't. My confusion lies in that I try to imagine using my derived v(t) equation but the drag force is constantly changed based on the instantaneous velocity at any moment, the v in the force equation is what throws me off, and makes me think I need to use a different approach. Once I found my v(t) I found time when v(t)=0, then I found velocity as a function of position to find distance when v=0. But again, now that I look at it, the v that is apart of e should probably be 0 as well, then the positions and times won't be affected by the drag force... [/QUOTE]
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Introductory Physics Homework Help
Solving Boat Speed & Distance with Drag Force
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