Since raindrops grow as they fall, their surface area fore the resistance to their falling increases. A raindrop has d velocity of 8 m/s and its downward acceleration is

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Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases. A raindrop has an initial downward velocity of 8 m/s and its downward acceleration is given by:

\[
a = 
\begin{cases} 
8 - 0.8t & \text{if } 0 \leq t \leq 10 \\
0 & \text{if } t > 10 
\end{cases}
\]

If the raindrop is initially 600 m above the ground, how long does it take to fall?
Transcribed Image Text:Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases. A raindrop has an initial downward velocity of 8 m/s and its downward acceleration is given by: \[ a = \begin{cases} 8 - 0.8t & \text{if } 0 \leq t \leq 10 \\ 0 & \text{if } t > 10 \end{cases} \] If the raindrop is initially 600 m above the ground, how long does it take to fall?
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