SOLUTION: A cars speed is given by v-t^2+2t+20 where 0<t<5 where t is hours and v is miles/hour. A) How far does the car travel in 5 hours? B) What is the average speed of the car?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A cars speed is given by v-t^2+2t+20 where 0<t<5 where t is hours and v is miles/hour. A) How far does the car travel in 5 hours? B) What is the average speed of the car?      Log On

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Question 934403: A cars speed is given by v-t^2+2t+20 where 0 where t is hours and v is miles/hour.
A) How far does the car travel in 5 hours?
B) What is the average speed of the car?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A) Integrate,
s=int%28v%2Cdt%29
s=int%28%28t%5E2%2B2t%2B20%29%2Cdt%2Ct=0%2C5%29
s=t%5E3%2F3%2Bt%5E2%2B20t%2BC
s=5%5E3%2F3%2B5%5E2%2B20%285%29
s=125%2F3%2B25%2B100
s=%284%2F3%29125
s=166.7miles
.
.
.
B) V%5Bave%5D=166.7%2F5=33.3mph