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Introductory Physics Homework Help
Kinematics - projectile with acceleration that depends on V
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[QUOTE="Feodalherren, post: 4989195, member: 424891"] [h2]Homework Statement [/h2] A ship is traveling across the sea when its engines are cut. The ship slows down by a = -kV[SUP]2[/SUP]. The ship gradually slows down from 5 knots/h to 12 knots/h over 20min. Determine the distance traveled in nautical miles. One knot is 1 nautical mile per hour.[h2]Homework Equations[/h2] Kinematics [h2]The Attempt at a Solution[/h2] Vi = .2 [nmiles / min] Vf = .1167 [nmiles / min] nmiles= nautical miles a = dV/dt = -kV[SUP]2[/SUP] (1/V[SUP]2[/SUP])dV = -k dt integrate over Vi to Vf and 0 to 20min. therefore k = .1786 [1/nmiles] units seem to add up if a = -kv^2 the units will become nmiles/min^2 confident that k is correct. Not sure though. Now for V. a= v dv/dx = -kv[SUP]2[/SUP] -kv[SUP]2[/SUP] = v dv/dx -kdx = (1/v) dv integrating from Xi to Xf and Vi to Vf -k(Xf - Xi) = ln(Vf - Vi) Natural log of a negative number, impossible. Where am I going wrong? [/QUOTE]
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Introductory Physics Homework Help
Kinematics - projectile with acceleration that depends on V
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