Kitobeirens
New member
- Joined
- Sep 13, 2012
- Messages
- 7
i have this question which i cant seem to see where i have gone wrong.
1.The rate in cm^3s^-1, at which air is escaping from a hot air balloonat time t seconds is proportional to the volume of air, v CM^3 in the balloon at that instant. initially V=1000
a) show that v=1000e^-kt , where k is a positive constant. ( I can do this part of the question)
Given that V=500 when t=6
b) show that k=1/6 LN 2
this is the part i cant do, my working goes like this:
1.v=1000e^-kt
2.500=1000e^-6k
3.1/2=e^-6k
4.ln(1/2)=lne^-6k
5.ln(1/2)=-6k
6.-1/6ln(1/2)=k
help is appreciated
1.The rate in cm^3s^-1, at which air is escaping from a hot air balloonat time t seconds is proportional to the volume of air, v CM^3 in the balloon at that instant. initially V=1000
a) show that v=1000e^-kt , where k is a positive constant. ( I can do this part of the question)
Given that V=500 when t=6
b) show that k=1/6 LN 2
this is the part i cant do, my working goes like this:
1.v=1000e^-kt
2.500=1000e^-6k
3.1/2=e^-6k
4.ln(1/2)=lne^-6k
5.ln(1/2)=-6k
6.-1/6ln(1/2)=k
help is appreciated