What is the equation of the normal line to the curve y = sin (sin z ) at r = ? O A. = I - T O B. U = -T- O C. y = TI O D. y= TE- 1 O E. y= - c-1An object moves along the x-axis so that its position at any time t > 0 is given by x (t) = cos (2t- - t + 5). Find the velocity of the object as a function of t. O A. - sin (2+2 - + + 5) O B. (4t + 1) sin (2t2 - + + 5) O C. - (4t - 1) sin (2+2 - t + 5) O D. cos (4t - 1) sin (2t2 - t + 5) O E. - sin (4t - 1)The position of a particle moving along a coordinate line is s = 16 + 3t, with s in meters and t in seconds. Find the particle's velocity at t = 10 seconds. O 12 S O B. 6 m/s O C. 2 m/s 21/3 O D. m/S O E. 15 m/ sA particle moves along a line so that its position at any:r time. t l} 1, is given by the function 2 3 (12] = 2: I1t+l ito\" , at any.r given time, t. , where s is measured in meters and ris measured in seconds. Find the velocitya o (t) 4 2' D A- vs} = {i 1