A particle moves on a straight line with velocity v(1) = -2 - z . sin( Find the displacement of the particle in the time interval from t = 6 to 1 = 10, and also the distance travelled by the particle in the same time interval. Displacement: Distance: Hint: The graph of v(1) is as follows: 6 4 2 O -2 6 6 6.5 7 7.5 8 8.5 9 9.5 10Find the intersection points of the two curves y = -60 - x + 1800 . x + 1500 and y = 120 . x2 + 1800 - x - 3000 and then find the area between the curves. Left intersection: X = Right intersection: x = K Area between curves:Evaluate the definite integral Vx- +9 dx by finding an appropriate substitution, then evaluating the indefinite integral + 9 dx. Finally, use the Fundamental Theorem of Calculus to evaluate the definite integral. Substitution: u = Indefinite integral: Definite integral