An astronaut drops a rock into a crater on the moon. the distance, d(t), in meters, the rock travels after t seconds can be model by the function d(t) =0.8t^2. what is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

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area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2