3) 20 pts. An airplane pilot pulls out of a dive by following an arc of a circle with constant radius 300 meters. At the bottom of the arc, the plane is going 180 km/hr. a) What is the magnitude and direction of the acceleration of the plane at this point? b) IF the plane maintains this arc and starts to accelerate at 5 m/s"when it is at the bottom of the arc, what is the magnitude of its acceleration after 3 seconds. I km/hr = 0.278 m/sPHYSICS 105 EQUATION SHEET = AX g = 9.8 m/sec/sec At g = 32.2 ft/sec/sec a avg = AV At a fatal = a, + a, V = ddx a, = dv dt a = dy dt a= Vape = Ar v = Vo + at At (x - X,) = Vit +1/2at2 a avg = Av At v = Vo + 2a(x-X.) v+Vo 7= 2 dr dt ( x - Xo ) = VI a =