pleas ehelp:)
?
@Vincent-Lyon.Fr
Unable to download the link.
http://papers.xtremepapers.com/CIE/Cambridge%20International%20A%20and%20AS%20Level/Mathematics%20(9709)/9709_w03_qp_5.pdf 5th question ii) iii)
@Vincent-Lyon.Fr @satellite73
\[\frac{ dv }{ 5-v }=\frac{ dt }{ 10 }\] \[\int\frac{ dv }{ 5-v }=\int\frac{ dt }{ 10 }\] \[-\ln (5-v)=\frac{ t }{ 10 }\] \[\huge 5-v=e^{-\frac{ t }{ 10 }} \implies v=5-e^{-\frac{ t }{ 10 }}\]
\[v_y^2=v_0^2+2a y \implies y=\frac{ v_y^2 }{ 2a }=\frac{ (v \sin \alpha)^2 }{ 2g }=\frac{ 20^2 \sin^2 \alpha }{ 2*10 }=7.2\]
\[\alpha=36,9\]
\[\alpha=36.9\]
the second part is the problem
first we find the time \[t=?\] \[v_{fy}=v_{iy}+at\] \[0=v_{iy}-gt\] \[20 \sin 36.9=10 t\implies t=1.2\] speed on hitting the wall is \[v_x=20 \cos \alpha=20 \cos 36.9=20*0.8=16 \] half \[v_x=8\] \[\huge x=v_xt=1.2*16=9.6m\]
oh ok thanks:)
\[\tan \theta=\frac{ v_y }{ v x }=\frac{ 10*1.2 }{ 10 }=.1.2 \implies \theta=56\]
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