A small rock moves in water, and the force on it by the water is given...

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Physics

A small rock moves in water, and the force on it by the water isgiven by f=kv. The terminal speed of the rock is measured and foundto be 2.0m/s. The rock is projected upward at an inital speed of6.0m/s. You can ignore the buoyancy force on the rock
a) in the absence of fluid resistance, how high will the rockrise and how long will it take to reach this maximum height? Imanaged this one. b) when the effects of fluidresistance areincluded, what are the answers to the question in part a).
i manage to get the same z time as the solution on thiswebsite.
I and the website has the same equation for Vy.
the websites solution for Y = Vt*[1-e^(-k/mt))] which is thesame expression as the example in the book.
But in the example in the book there is no initial speed Vy=0.In the question there is initla speed and therefor I think theexpression for Y must be different from the examples expression.Therefore I think the solution of this question on this websitemust be wrong. Please comment me on this.

Answer & Explanation Solved by verified expert

3.9 Ratings (486 Votes)

for parts a and b you can use the same equations height v022g 2m time to max height v0g 061s including friction you have to solve the differential equation m dvdt mg kv where mg is See Answer

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