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if a ball is thrown into the air with a velocity of 20 ft/second it's height in feet and seconds is given by f(t) = 20t - 10t^2. find average velocity for the time period t0 = 1 to t=2



Answer :

The average velocity is  -10 ft/s.

What is Average velocity?

Average velocity is just the average speed with a direction. If a trip starts and ends at the same point, the total displacement is zero, so the average velocity is zero.

Given:

f(t) = 20t - 10t²

Now, from t=1 to t=2

f(1)= 20*1 - 10 * 1*1

f(1)= 10

and, f(2)=20*2-10*2*2

f(2)= 40-40

f(2)=0

Now,

Average velocity:

v = ( 0-10 ) / ( 2- 1 )

  = -10 ft/s

hence, the average velocity is  -10 ft/s.

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