F F12:32 93218A= VPN @ 1 43% K TO Name: ID: A 26. The range of a projectile can be modelled by the function R = sin 2x, where v is the initial speed in metres per second, g is the gravitational acceleration, in metres per second squared, and x is the angle to the ground. Determine the function that measures the rate of change of the range with respect to the angle of thrust. (T: /2)(A: 12) 27. The horizontal position of the pendulum of a grandfather clock can be modelled by h(1) = Acos T , where 4 is the amplitude of the pendulum, t is time, in seconds, and T is the period of the pendulum. Determine the formula for the acceleration of the pendulum at time t. (A: /2)(T: /2) 28. A crystal is growing according to the function C(1) = 10| 1.10 , where C is the radius of the crystal, in millimetres, after t hours. At what rate, to the nearest hundredth of a millimetre per hour, is the crystal growing after 3 h? (T: /2)(A: /2) 29. A rocket is fired at an angle of 25 to the ground and with an initial velocity of 120 m/s. Resolve the vector into its vertical and horizontal components and state the magnitudes of each component. (A: /2)(T: /2) 30. Consider b = [3, 6, 2]. Let n = [1, 1, n]. Find n such that n and b are perpendicular. (T: /3) ( 1 07 5 + 2020 Leading Wave Nexus Inc. cLawrence Academy