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 10 m/s and its downward acceleration is portrayed by the equation
a=9-.9t when 0<t<10
a=0 when t>10
If the raindrop is initially 500 m above the ground, how long does it take to reach the ground?
