Use the given acceleration function and initial conditions to find the position at time t = 2. a(t) = 2costi-2sintj. v(0) =5j + 2k, r(0) =-2i O r(2) = 2 cos 2 i+ (2 sin 2+ 6)j+ 4k O r(2) = -2 cos2 i+4j+ (2 sin 2 + 6)k O r(2) = -2cos2 i-(2 sin 2 +6)j+4k O r(2) = -2 cos2 i+ (2 sin2 -6)j+4k O r(2) = -2cos2 i+ (2 sin2 +6)j+4kDetermine the range of a projectile red at a height of 6 feet above the ground with an initial velocity of 800 feet per second and at an angle of 30 above the horizontal. Use the model for projectile motion, assuming there is no air resistance. Round your answer to three decimal places. 0 17,330,894 feet 0 9295.478 feet 0 4652.136 feet 0 11,833,126 feet 0 23,662,879 feet Find the length of the space curve given below. r(t)=2ti+7cost j+7 sintk, [0,4]