1. {0.66/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 12.3.004. The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = ti + (t2 + 8)j (1, 7) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. Va) = i+ (2t)j s(t)= ' 2j am = v 1 +er2 X UH x 5. [0.34/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 12.3.035. MY NOTES ASK YOUR TEAC Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second per second. A bale ejector consists of two variable-speed belts at the end of a baler. Its purpose is to toss bales into a trailing wagon. In loading the back of a wagon, a bale must be thrown to a position 8 feet above and 16 feet behind the eject (a) Find the minimum initial speed of the bale, v, and the corresponding angle, 0, at which it must be ejected from the baler. (Round your answers to two decimal places.) V = 25.30 * ft/sec 0 = 63.43 X (b) The ejector has a fixed angle of 450. Find the initial speed, v, required.6. [0/1 Points] PREVIOUS ANSWERS LARCALC11 12.3.037.MI. Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second per second, ASK YOUR TEACHER PRACTICE ANOTHER A shot red from a gun with a muzzle velocity of 1400 feet per second is to hit a target 2800 feet away. Determine the minimum angle of elevation of the gun. (Round your answer to two decimal places.) x 0 Need Help? 7. [0/1 Points] PREVIOUS ANSWERS LARCALC1 1 123.041. Use the model for projectile motion, assuming there is no air resistance and g = 9.8 meters per second per second ASKYOUR TEACHER PRACTICE ANOTHER Determine the maximum height and range of a projectile red at a height of 1.1 meters above the ground with an initial speed of BO meters per second and at an angle of 30 above the horizontal. (Round your answers to two decimal places) height 164.37 x m eeeex m Need Help? 8. [-I1 Points] DETAILS LARCALC11 12.3.045. Consider the motion of a point (or particle) on the circumference of a rolling circle. As the circle rolls, it generates the cycloid r(t) = b(wt sin wt)i + b(1 cos wt)j where a) is the constant angular speed of the circle and b is the radius of the circle. Find the velocity v(t) and acceleration a(t) vectors of the particle. v(t) = C Use the results to determine the times at which the speed wt of the particle will be zero and maximized when 0