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A particle moves according to a law of motion s = f(t), t 0 where t is measured in seconds and s in feet. f(t)=t^2-10t+12

A particle moves according to a law of motion s = f(t), t 0 where t is measured in seconds and s in feet. f(t)=t^2-10t+12 - Find the total distance traveled during the first 8s(The image attached down below is the format that is required to get the answer, the sum of the three results is supposed to be 34 [that is the answer]) Please show the same format.

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( e) find the total distance traveled during the first is Distant Traveled from t = 0 to k = Is from t = 0 1 0 t = 1 : 18 (1 ) - S ( o ) 1 = 1 3- 01=3 from t= 1 10 t=4 : 15(4) - S (70 1 = 1-12-31= 15 - Prom f = 4 1 0 4 = 8: 15 (8) - 5(401=1-4-151279 1

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