1.

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 258 m, and the car completes the turn in 35.0 s. X O 35.0 C B i (a) What is the acceleration when the car is at B located at an angle of 35.0? Express your answer in terms of the unit vectors i and j. m/s2 i+ m/s2 j (b) Determine the car's average speed. m/s (c) Determine its average acceleration during the 35.0-s interval. m/s2 i + m/s2 jA roller-coaster car has a mass of 508 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point 3 involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius r1 = 10.0 m and r2 = 15.0 m, respectively. l'r.\" Max /, 5 [I \\\\ = r \\ I ,! \\ I T) \\ , l l - 1 l' 1 r \\ f \\ 1, \\ _ J \\'O' \\\\\\' ///j i . 2v 7;? ' CD (a) If the vehicle has a speed of 19.2 m/s at point ('9, what is the force exerted by the track on the car at this point? |:|N (b) What is the maximum speed the vehicle can have at and still remain on the track? Em A hawk flies in a horizontal arc of radius 14.1 m at a constant speed 3.70 m/s. (a) Find its centripetal acceleration. Ewe (b) It continues to fly along the same horizontal arc, but increases its speed at the rate of 1.45 m/sz. Find the acceleration in this situation at the moment the hawk's speed is 3.70 m/s. magnitude C, m/s2 :l direction from the direction of velocity towards center of the circle