What is the average speed of an object that is moving at #30 m/s# at #t=0# and accelerates at a rate of #a(t) =5-2t^2# on #t in [0,5]#?

Answer 1

#V=-28,3 m/s#

#v=int a *d t# #v= int_0^5 (5-2t^2)*d t# #v=[5*t-(2*t^3)/3]_0^5+C# #v=[5*5-(2*5^3)/3]-[0]+C# #t=0 ;v=30 ;C=30# #v=25-250/3+30# #v=55-250/3# #v=(165-250)/3# #V=-28,3 m/s#

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Answer 2

Adrian Ayala

To find the average speed, you need to calculate the total distance traveled and divide it by the total time taken. To find the total distance, integrate the velocity function over the given time interval. Then divide this total distance by the total time taken.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.