1. The tolerance is +- 2%

Airboat. You are to ride an airboat over swampy water, starting from rest at point i with an x axis extending due east and a y axis extending due north. First, moving at 30 north of due east: (1) increase your speed at 0.390 mfs2 for 5.20 s; (2) with whatever speed you then have, move for 7.20 s; {3) then slow at 0.390 [TI/s2 for 5.20 s. immediately then move due west: {4) increase your speed at 0.390 m/s2 for 5.30 s; (5) with whatever speed you then have, move for 10.2 s; (6) then slow at 0.390 m/s2 until you stop. In magnitude- angle notation. what then are {a} the magnitude and (b) the angle of your average velocity for the trip from point i? (a) Number n Units v (b) Number n Units v A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one instant, it moves through the point at coordinates (4.50 m, 3.20 m) with a velocity of -2.20 i m/s and an acceleration of +13.9 j m/s2. What are the (a) x and (b) y coordinates of the center of the circular path? (a) Number i Unit (b) Number i UnitYou are kidnapped by political-science majors (who are upset because you told them political science is not a real science). Although blindfolded, you can tell the speed of their car (by the whine of the engine), the time of travel (by mentally counting of'f seconds). and the direction of travel (by turns along the rectangular street system). From these clues, you know that you are taken along the following course: 70 km/h for 2.0 min, turn 90 to the right, 30 km/h for 4.0 min. turn 90 to the right, 10 km/h for 80 5, turn 90 to the left. 50 km/h for 70 s. turn 90 to the right. 10 km/h for 1.0 min, turn 90 to the left, 50 km/h for 30 s. At that point, {a) how far are you from your starting point, and (b) in what direction relative to your initial direction of travel are you? Give your answer to {a} in meters. and your answer to (b) as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180 from the original direction of motion. {a} Number n Units V {b) Number n Units v Atrebuchet was a hurling machine built to attack the walls of a castle under siege. A large stone could be hurled against a wall to break apart the wall. The machine was not placed near the wall because then arrows could reach it from the castle wall. Instead, it was positioned so that the stone hit the wall during the second half of its ight. Suppose a stone is launched with a speed of w; = 24.0 mfs and at an angle of 60 = 38.0. What is the speed of the stone if it hits the wall (a) just as it reaches the top of its parabolic path and (b) when it has descended to half that height? {c} As a percentage, how much faster is it moving in part [bl than in part (a)? {a} Number n Units v {bl Number n Units v {c} Number l Units v A ball is thrown horizontally from a height of 26 m and hits the ground with a speed that is four times its initial speed. What is the initial speed? Number i 13.03 Units m/s v