how to solve this using calculus

Question

anonymous · Answer

attachment

anonymous · Answer

@Callisto @Kainui

koikkara · Answer

$Model~Question$ $Ref:$ http://clay6.com/qa/52771/two-blocks-of-masses-m-1-5-kg-and-m-2-6-kg-are-connected-by-a-light-string- might help you... !! @KarlaKalurky

anonymous · Answer

@Koikkara we are required to solve by using calculus :) help pls

alekos · Answer

why solve it the hard way when you already have a solution via the easy way?

imqwerty · Answer

$$a=\frac{ dv }{ dt}$$$$a=v \frac{ dv }{ ds }$$$$ds=v \frac{ dv }{ a }$$$$\int\limits_{0}^{2}ds=\int\limits_{0}^{v}\frac{ v }{ mg \sin \theta }dv$$$$2=\frac{ v^2 }{ 2\times50\sin25 }  =>v^2=2\times2\times50\sin25$$$$v=4.1m/s$$

imqwerty · Answer

:)

anonymous · Answer

@alekos right?! i mean my prof want it that way or else no points given :((
THANK YOU!! @imqwerty

imqwerty · Answer

(:  np

imqwerty · Answer

its good to know various ways to solve a specific problem :) it helps u later while tryin to solve questions used unique ways :D