Use the vector-valued function r(t) to find the prince y- (v . via - (v . a)v N - Tiv . via - (v . a)v "(*) - 3 cos # + 3 sin j + 5ck N(t) - Need Help? Band it Submit Arewas -/4 Points] DETAILS LARCALC12 12.4.061. Because of a storm, ground controllers instruct the pilot of a plane flying at an altitude of 4 miles to make a 909 turn and climb to an altitude of 4.2 miles. The model for the path of the plane during this maneuver is "(#) - $10 cos 10at, 10 Ont, 4 + 40, Osts are t is the time In hours and ir Is the distance In miles. (a) Determine the speed of the plane. (Round your answer to the nearest whole number.) myth b) Calculate a, and ON ST - Why is one of these equal to OF O zy - 0 because the acceleration is constant. O a - D because t 2 0. O a - 0 because the speed is constant. O and - D because the speed is constant. Oz - 0 because the acceleration is constant. Need Help? Hand 1: 2/2 Points] DETAILS PREVIOUS ANSWERS LARCALC12 12.4.063. An object is spinning at a constant speed on the end of a string, according to the position function given below. (t) - a costait) i + a sin(ait) ] (2) if th The centripetal amel s increased by a factor of 4 when the velocity is doubled. The centripetal ac decreased by a factor of 2 when the velocity is doubled. O The cent The centri oubled. The centripetal arr Based by a factor of 2 when the velocity is doubled. (b) If the angular velocity is unchanged but the length of the string is halved, how is the centripetal compo celeration changed? O The centripetal by a factor of 2 when the radius is halved. The centri The centri when the radius is halved. The centripetal am luced by a factor of 4 when the radius is halved. The centripe d by a factor of 4 when the radius is halved. Need Help? Bans It Waist /2 Points] DETAILS LARCALC12 12.4.502.XP. Find a set of parametric equations for the tangent line to the graph at t - to. (Enter your answers as a comma separated list.) In(t) - it. In(t). ve. to - 1 Use the equations for the line to approximate r(to + 0.1). "(to + 0.1) - Need Help? Hand !: Weah it /1 Points] DETAILS LARCALC12 12.4.503.XP.MI. Verify that the space curves intersect at the giver section. (t) - it, cost, sing, r = 0 u(s) - (- Hans]' - ans. 1 - Hans]) - ans, 2sinscoss + 1:). s-0 Need Help? Hand Wwcahill Wear