Find Total Distance Traveled Calculus at Traveling

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Find Total Distance Traveled Calculus. A car starts at rest and accelerates in 4 seconds to a speed of 20 m/s, which it maintains for the next 8 seconds. Find the total distance travelled.

PPT AP CALCULUS AB PowerPoint Presentation, free
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X = ∫ v d t. X(t) = position function x’(t) = v(t) = velocity function *|v(t)| = speed function x’’(t) = v’(t) = a(t) = acceleration. Distance traveled if a body with position function s (t) moves along a coordinate line without changing direction, we can calculate the total distance it travels from t.

PPT AP CALCULUS AB PowerPoint Presentation, free

Add your values from step 4 together to find the. To do this we count all. X ( t) = ∫ 3 t 2 − 15 2 t + 3 d t = t 3 − 15 4 t 2 + 3 t. Calculating displacement and total distance traveled for a quadratic velocity function