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1. A particle moves in a circular path of 0.3-in radius. Calculate the magnitude a of the acceleration or the particle (a) if its speed is constant at 0.6 m/s and (b)if its sped is 0.6 m/s but is increasing at the rate of 0.9 m/s each second. 2. The car travels at a constant speed from the bottom A of the dipto the top B of the hump. If the radius of curvature of the road atA is PA - 120 m and the Car acceleration at A is 0.4g. Determine the car speed v. If the acceleration at B must be limited to 0.25g, determine the minimum radius of curvature PB of the road at B. 0.6 A 3. The ladder of a fire truck is designed to be extended at the constant rate - 6in./sec and to be elevated at the constant rate e - 2deg/sec. As the position e 50 and 15 ftis reached, determine the magnitudes of the velocity V and the acceleration a of the fireman at A I 201 a o 4. The rocket is fired vertically and tracked by the radar station shown. When e reaches 60°, other corresponding measurements give the values r= 30,000 ft, 70 ft/sec2, and e 0.02 rad/sec. Calculate the magnitudes of the velocity and acceleration of the rocket at this position. u u

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