arm length 1.2m hand force down 360 N Problem 12. The position function of a particle is given by s(!) = * - 1215 + 45t+ 3, where time, t, is in seconds, distance, s, is in metres, and # 2 0. Find the velocity of the particle when the acceleration is zero. 13. An airplane is on a heading of 075 at 250 km/h and an 85 km/h wind is blowing from 300. Determine the resultant velocity of the airplane, using Cartesian vectors, and state the groundspeed and bearing of the resultant.Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If A(x) = 2 sin 3x, find f'| a. b . d. -6 2. An airplane is flying at 150 km/h on a heading of 070. The wind is blowing at 40 km/h from a bearing of 130. Find the groundspeed (the magnitude of the ground velocity) of the airplane. a. 125.24 km/h c. 110 km/h . 190.02 km/h d. 134.54 km/h 3. A ship is sailing at 8 knots (nautical miles per hour) on a heading of 300. The wind is blowing at 12 knots from a bearing of 0450. Find the speed (the magnitude of the resultant velocity) of the ship. 20 knots . 15.55 knots b. 16.05 knots d. 12.23 knots 4. A kayak is being paddled at 3 knots (nautical miles per hour) on a heading of 280. The current is flowing at 5 knots towards a bearing of 310. Find the speed (the magnitude of the resultant velocity) of the kayak. a. 7.74 knots b. C. 8 knots 4 knots d. 2.83 knots 5. A father pulls a child in a sleigh with a 150 N force at an angle of 25 to the ground. How much work is done over a 2 km walk? a. 126.78 J C. 271.89 J b. 126 785.48 J d. 271 892 J Short Answer 6. Determine f"(1) for the function A(x) = [3x3 - 5x] 7. The position function of a particle is given by s(!) = 21* + 41 - t, where time, t, is in seconds and distance, s, is in metres. Find the velocity and acceleration after 4 s. x5 + 2 8. Find the equation of the tangent to the curve f(x) = (x' + 3x - 1)3 at X = 0. 9. For the function f(x) = 16 +4x + x - 3x , find the point of inflection. 10. The height, h, in metres, of a firework as a function of time, t, in seconds, is given by h(t) = -4.9:" + 981 + 2. Determine the maximum height of the firework. Verify it is a maximum. 11. Find the torque at the point A, the shoulder joint