ivanradoszyce
Member
- Joined
- Oct 18, 2023
- Messages
- 48
- Gender
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- HSC
- 2018
I came across this problem from the Cambridge Ex 2 book, the Mechanics section.
Part (d) has me scratching my head. Obviously
cannot be 1. This results in an improper integral.
From part (c)
}{3 + 2y} \,\,\, \text{which simplifies to } \\
\frac{dt}{dy} &= - \frac{1}{\sqrt{3g}} \sqrt{\frac{1 + \frac{2}{3}y}{1 - \frac{2}{3}y}} \,\,\, \text{where - indicates a decreasing rate }
\end{align*}
)
I can't determine what the terminal would be if I performed the integration. I thought the upper
terminal could be 3/2 before applying a substitution of
. However that doesn't achieve the desired result. So I'm confused. The answer indicates 
Any help appreciated.
Part (d) has me scratching my head. Obviously
From part (c)
I can't determine what the
terminal could be 3/2 before applying a substitution of
Any help appreciated.