Suppose a curve is described by r(t) = (Ah(t), Bh(1)) , for astsb, where A and B are constants and h has a continuous derivative. Complete parts a. through c. below. b a. Show that the length of the curve is VAZ + 2|jh (t)| dt. Choose the correct answer below. OA. L= ANNOY + (Ben()? = VAR + BR at = VAZ + BZ at b b b b C. L= (APNO + (BRn'()? at= VAZ + BZ . [n'()/dt = VA2 + B2 |[n'(1)/ at b b OD. L= (ARn't)2 + (B)n'()2 at = | VAZ + B2 . W(t)dt = VAZ + B2 |n'(1) at b. Use part (a) to find the length of the curve x = 71 , y = 219, for Osts4. L= 64153 (Type an exact answer, using radicals as needed.) c. Use part (a) to find the length of the curve x = 7, y= 7, for 1sts8. L= (Type an exact answer, using radicals as needed.)Find the time of flight, range, and maximum height of the following two-dimensional trajectory, assuming no forces other than gravity. The initial position is (0,0) and the initial velocity is Vo = (Up. Vo) . Initial speed |Vo | = 125 m/s, launch angle a = 60*