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

Evaluate the integral 17 11 8 16 + 14 feet per second. A stone is thrown straight up from the edge of a roof, 900 feet above the ground, at a speed of 16 All answers are to the nearest tenth. A. Remembering that the acceleration due to gravity is -32, h later? 2. how high is the stone 3 seconds B. At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground? ( Please note that the video below has units in *meters* rather than feet, so a = -9.8 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 -195 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 sec ? Speedometer readings for a vehicle (in motion) at 7-second intervals are given in the table. t (sec) 0 7 14 21 28 35 42 v (ft/s) 0 8 27 48 61 59 43 Estimate the distance traveled by the vehicle during this 42-second period using Le, Re and My. Note that left and right approximations are using 6 intervals, while the midpoint approximation is using 3 intervals. a.) Le = feet b.) Re = feet C.) M3 = feet Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation. Enter a whole number for your answer. time (sec) velocity (ft/sec) 27 49 Approximate the area under the curve y = x from x = 2 to x = 5 using a Right Endpoint W N 51 31 approximation with 6 subdivisions and two decimal places. 20 feet Estimate the area under the graph of f(x) = 1 x +10 over the interval [1, 5] using eight approximationg rectangles and right endpoints. Report answers accurate to 4 decimal places. Remember not to round too early in your calculations. Rn - Repeat the approximation using left endpoints. In = Liquid leaked from a damaged tank at a rate of r(t) liters per hour ( ). The rate decreased as time passed and values of the rate at four-hour time intervals are shown in the table. Round your answers to one decimal point. the r(t) 1/h 0 10.8 4 10.2 8 9.5 12 16 8.4 20 7.9 Find lower and upper estimates for the total amount of liquid that leaked out. lower estimate = liters