Let 2. Suppose that an accelerating car goes from 0 mph to 60.0 mph in five seco
ID: 2852036 • Letter: L
Question
Let
2. Suppose that an accelerating car goes from 0 mph to 60.0 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: 1 mph is 22/15 ft/sec.) Find the average acceleration of the car over each of the first two seconds.
average acceleration over the first second = ?????????(include units)
average acceleration over the second second = ?????????// (include units)
Explanation / Answer
1)f '(x)=5-4x2
increasing ==> f '(x) >0
==>5-4x2 >0
==>4x2 <5
==>x=(-5 /2 ,5 /2)
decreasing ==> f '(x) <0
==>5-4x2 <0
==>4x2 >5
==>x=(-infinity,-5 /2)U(5 /2 ,infinity)
f '(x)=5-4x2
f ''(x)=0-8x
f ''(x)=-8x
concaveupward ==>f "(x)>0
==>-8x>0
==>x<0
==>x=(-infinity,0)
concavedownward ==>f "(x)<0
==>-8x<0
==>x>0
==>x=(0,infinity)
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