8 questions to be answered I need the answers separately and the work

A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 14 feet per second. All answers are to the nearest tenth. A. Remembering that the acceleration due to gravity is -32 $2 . how high is the stone 2 seconds later? B. At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground? . QUESLIUIT IZ What point with strictly positive x-coordinate that lies on the parabola y = 3x2 - 7 is closest to the point P(0, 3)? Enter an ordered pair of exact numbers, with all fractions simplified and denominators rationalized. A particle is moving with acceleration a(t) = 18t + 8 fit .2 . Its position at time t = 0 seconds is s(0) = 4 feet, and its velocity at time t = 0 seconds is v(0) = 11 ft/s. What is its position at time t = 8 seconds? feet A stone is dropped (initial velocity is 0) from the edge of a roof (this would be the initial height), and hits the ground with a velocity of -120 feet per second. How high (to the nearest foot) is the roof? Note: the acceleration of an object due to earth's gravity is 32 It sec 2 Write the sum using sigma notation: 120 120 6 + 10 + 14 + 18 + . . . +,54 = > an, where Suppose that ) a; = 29 and > bi = -24. Compute the sum. 1=1 1=1 n=1 120 N = (23a; - 13b;) i=1 an = Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t = 0 and t = x for the graph below. Evaluate A(x) for x = 1, 2, 3, and 4 An object moves with velocity as given in the graph below (in fu/sec). How far did the object travel from t = 0 tot = 15? N A(1) velocity (ft/sec) A (2 ) A (3) A(4) - 10 15 20 25 30 35 40 45 time (sec) feet