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Quiz 10 (meaningful questions) © If a particle follows a trajectory r(t) with velocity v and acceleration a, and if T and N are the unit tangent and unit normal vectors, which of the eo statements are necessarily true? iy If the trajectory is along y = mx + b, then the curvature x= 0 — #0 change in Chrechon (Gi xis the curvature, then ay = IMiz« An => ee Be wo s os vd (nes IT x NI =o “false, shoutel Beall By PEMeMEER } aT - ee DANS fats =? vy | PoP a narvbucose _ itt yo x , 5 oo an PIVEN = OD remus . Vax B= hapled sinew ha AT N= 0 or ret x . b- PAN => Yarloo Since £08 4070) . & Only (i), (i), (Vv), and (vi) . FLA 2 Fo Seo. (008 40% 6) Pat 2 PeFeo Csino'so) @ if a particle follows a trajectory r(t) with velocity v and acceleration a, and if T and N are the unit tangent and unit normal vectors, which of the following statemerits are necessarily true? rt xis the curvature, then ay = |IvIr- « ~ (iif the acceleration and velocity of the particle Via => VeR=o =? ar are always orthogonal, then the particle is moving wale — 7 eo, SDA AG Bev HeH-A =D ina ctrele. Pebe. WHEY ay Gil If the acceleration arid velocity of the particle 3137.9 7 > ; an are always orthogonal, then the speed is constant. 2? Ope 5 &, anes Ba PoveN=0 3 an\ aw depends on He 725. “pai If the trajectory of the particle is a circle, § Bea, oor 7s rei) ap accelerahon vec af haw, } thenax v= <0,0,0>. Gere wPreoh but, in cltcle One 13 contdant. TC chaage ta creche? 94 AP" _, Gj If the particle is moving along a path with constant | “7 pe une 1s comida S S| peed, then the curvature of the particle's path cannot be constant f f i i = on - ~_4 mo a) Re A? Fn fad BLT (re. AV ae) 10 A circle wit Sud AL Only (GH), and (ivy. , & eonslem specel. ons Mm) a, -Z war = 3 (eons) =O =? Ar =o C spect aaes aod change) Counter exemple: pachele moving velong BR orete euitts constand speecl, As Qs = Constant (EI chang “4 direchen yf Ts cone WU, a an const = = wonshad Wo canst © zR& | | 
