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AP CALCULUS . ,, g5: .95, artisan? \"Aoat,\" Part 3 A particle moves along the x-axis so that at time 1' its position is given by x(t) and velocity given by v(t). Match the following integral expressions to their verbal statements A. x(2)+J'v(t)dt B. 1mm c. _7Hv(t)|dt _1. Total distance travelled by the particle over the interval from t 2 to t - 2. Position of the particle at t=7 3. Change In position between t= 2 and t=7 Part 4 A particle moves along the x-axis so that. at time t, its position is given by x(t) and velocity . given by v(t). At 1': 2, the particle is located at x = 1 . The following table gives the velocity of the particle at selected times over the time interval from t = 2 to t= 7. If integrals are approxi- mated using a left Riemann sum, match the numerical expressions to their verbal statements. ___ ___ A. 1+(4)(3)+(6)(2) 3- (4)(3)+(5)(2) 0- (-4)(3)+(5)(2) 1. Total distance travelled by the particle over the interval from t= 2 to t= 7 _2. Position of the particle at t - _3. Change In position between t= 2 and t=7 Check your understanding Explain in your own words the difference between position, displacement( (change In position) and total distance travelled. Which of these can be negative and why