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Consider the following position function. a. Find the velocity and speed of the object. b. Find the acceleration of the object. r(1) = (212 + 2, 212 + 12, 12 ) , fortzo a. What is the velocity of the object? v(t) = (OO Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object. r(t ) = ( 10,ts , e ) , for t2 0 (a) v(t) =) O Points Given an acceleration vector, initial velocity (Up.Vo.Wo) , and initial position (X.yo.Zo), find the velocity and position vectors for tz a(t) = (0,0,8), (up.Vo.Wo) = (6,1,0). (xo.yo.Zo) = (0,9,0) What is the velocity vector? v(t) = 0OO Given an acceleration vector, initial velocity (Up.Vo,Wo) , and initial position (X.Yozo) , find the velocity and position vectors for K a(t) = (7t,e-1,11), ( up.vo.Wo) = (0,0,5), ( xo. yoZo ) = ( 2,0,0 ) What is the velocity vector? v(t) =0 Question 5, 14.3.51-T HW Score: 0%, 0 of 7 points Part 1 of 6 Points: 0 of 1 Sa K Consider the motion of a bullet that is fired from a rifle 3 m above the ground in a northeast direction. The initial velocity of the bullet is (300,300,0) . Assume the x-axis points east, the y-axis points north, the positive z-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t 2 0. b. Make a sketch of the trajectory. c. Determine the time of flight and range of the bullet. d. Determine the maximum height of the bullet. a. The velocity vector is v(t) =( (Simplify your answers. Use integers or decimals for any numbers in the expressions.) Points: 0 of 1 A small rocket is fired from a launch pad 20 m above the ground with an initial velocity (200,300,600) m/s. A cross wind blowing to the north produces an acceleration of the rocket of 2.5 m/s Assume the x-axis points east, the y-axis points north, the positive z-axis is vertical (opposite g), and the ground is horizontal. Answer parts a through d. a. Find the velocity and position vectors for 12 0. The velocity vector is v(t) =( Question 7, 14.3.69 HW Score: 0%, 0 of 7 Points: 0 of 1 K A golfer stands 435 ft horizontally from the hole and 60 ft above the hole, as shown. If the ball is struck and leaves the ground at 60 At an initial angle of 30 with the horizontal, then with what initial speed should it be hit to land in the hole? 435 ft The ball should be hit with an initial speed of] (Do not round until the final answer. Then round to the nearest tenth as needed.)