The total distance is the integral of t^2-2t evaluated from t=0 to t=3
The integral of the function t^2 -2t is t^3/3 -t^2. So
(3^3)/3 -(3^2)= (27/3) - (9) =0
Lexi W.
asked 05/03/20The velocity of a particle moving along the x-axis is v(t) = t2 - 2t, with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = 3 minutes
The total distance is the integral of t^2-2t evaluated from t=0 to t=3
The integral of the function t^2 -2t is t^3/3 -t^2. So
(3^3)/3 -(3^2)= (27/3) - (9) =0
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