Mathematics 1 Deneme Sınavı Sorusu #1357099

The position of a vehicle at time t is defined by the function f(t)=5t2-2t+1. What is the average average velocity of vehicle between time interval [1,3]?


15/4

4

18

40

46


Yanıt Açıklaması:

The average velocity is defined by vav=(f(t2)-f(t1))/(t2-t1). So we have to calculate f(t) for t=1 and for t=3.

f(t)=5t2-2t+1

f(3)=45-6+1=40

f(1)=5-2+1=4

Then, vav=(f(t2)-f(t1))/(t2-t1)=(40-4)/(3-1)=18 for interval [1,3].

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