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avatar+54 

If a rock is thrown upward on the planet mars with the velocity of 10 m/s its height in meters t seconds later is given by y = 10t - 1.86t^2. Find the average velocity over the given time intervals.

 

a) [1,3]

 

b) [1,4]

 

c)[2.5,3.5]

 

If you could explain the answer and how you went about getting it that would be really helpful

 Feb 6, 2022
 #1
avatar+36435 
+1

Plug  '1'  into the equation to get the height at t = 1

Plug  '3'  into the equation to get the height at t = 3

   this is an interval of two seconds

  then   (height3 - height1 ) / 2  = average velocity  over the interval from 1 to 3 sec

 

 

the others are similar ....

 Feb 6, 2022
 #2
avatar+36435 
+1

At t= 1      height =  10 - 1.86 = 8.14   m

at t= 3      height = 30- 16.74 = 13.26

 

       (13.26 - 8.14)/2 = 2.56 m / s                       (   I think you performed   height 1 - height 3 ) / 2    

ElectricPavlov  Feb 9, 2022

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