A motorboat travels along a circular path with the radius equal to 50m. It starts from rest and Moves at a speed v = 0.8t misecs where t is in au Seconds. Determine the magnitude of the boat's 20.97 acceleration when it has traveled 20m in m/sec².191]
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- Use dimensional analysis (Section 1–8) to obtain the formfor the centripetal acceleration, aR = v2/rShow, using graphical vector addition, that the acceleration vector for an object in uniform circular motion points toward the center of the circular path. Use the factthat acceleration in two or more dimensions is defined as10. A dog runs due North with a speed of 2.4 m/s, while the cat it's chasing flees at 7 m/s at 49° North of East. What is the cat's speed with respect to the dog?
- 1. An ant travels 2.78 cm [W] and then turns and travels 6.25 cm [S 40° E]. What is the ant's total displacement? ™T [ans: 4.94 cm [E 76° S]]174m, combletes one calculate the Circle magnitude centripetal a cceperation 4 Car ouing in a cincular track of radius 845. पा of the or the car (in m/sz)1. A cannonball is launched at a 60.0° from the ground at 100.0 m/s. Calculate the maximum height achieved, the distance it traveled horizontally, and the time it took to travel its horizontal distance.
- 3. A rocket was launched with a speed v = 150 m/s and an acceleration of 425 m/s² at an angle a = 80°, determine the rocket's rate of increase in speed and its normal acceleration. Also, determine the radius of curvature of its path.47. For vectors B = -i – 4j and A = -3i – 2j, calculate (a) A +B and its magnitude and direction angle, and (b) À B and its magnitude and direction angle. 48. A particle underonn thuA race goes around a circular level track of diameter 1.00 km at a constant speed of 90.0 km/hr. The cars centripetal acceleration in m/s2 is ?
- B7.[5p t] A sports car, traveling west at 85.2 km/h, is being pursued by a police cruiser, mo ving at 103.5 km/h. (수치는 소수 1자리까지 표시) (a) Find the velocity of the sports car (magnit ude and direction) relative to the police cr uiser. (Give the magnitude in km/h.) magnit ude: ( 가 ) km/h direction: (4 Oeast Qwest 3 north @ south ) (b)Find the velocity of the police cruiser (magnitude and direction) rela tive to the sports car. (Give the magnitude in km/h.) magnitude : ( 4 ) km/h directio n: (21 Deast Qwest Onor th @south) (c) How much time (in s) will it take the police cruiser to overtake the sports car if initially th ey are 250 m apar t? ( of ) sAn object is doing uniform circular motion with a radius of 0.45 m, 50 turns per minute, how much is the speed of the object? 22.5 m/s 2.83 m/s 4.71 m/s not enough informatio to calculateAirplane makes a gradual 90 degrees turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. 1. for this turn, the magnitude of the radial acceleration of the plane is?