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142 m = zero. 0333(1 ta = five. 690s Substituting into Eqs. 1 and a pair of yields (aB)t = VB = zero. 2(5. 690) = 1. 138 m/s2 VB = zero. 1(5. sixty nine? = three. 238 m/ s At B, PB = 2 m, in order that v1 = (3. 238 m/s) 2 = five. 242 m/s2 (aB)n = Pa 2m The value of a B , Fig. 12-29c, is hence aa = V( 1. 138 m/s2) 2 + (5. 242 m/s2) 2 = five. 36 m/ s2 Ans. an v2/ l (a) l tB fifty nine B - (b) = = = = = = = = = = = = = = = = = = B a � + five. 242 m/s2 n I aB - 1. 138 m/s2 (c) Fig. 12-29 • 60 bankruptcy okay I N E M AT I C S O F A P A RT I C L E 12 F U N DA M E N TA L P RO B L E M S F12-27. The boat is touring alongside the round course with a pace of v = (0. 0625t2) m/ s, the place t is in seconds. be certain the importance of its acceleration whilst t = 10 s. v = zero. 062S ? Fl2-27 F12-28. the auto is touring alongside the line with a velocity of v = (300/s) m/ s, the place s is in meters. make sure the value of its acceleration whilst t = three s if t = zero at s = O. F12-30. while x = 10 feet, the crate has a velocity of 20 ft/s that's expanding at 6 ft/s2 . ensure the course of the crate's pace and the significance of the crate's acceleration at this rapid. y �-1 zero toes F12-30 Fl2-31. If the bike has a deceleration of at = - (O. OOls) m/ s2 and its pace at place A is 25 m /s, confirm the significance of its acceleration while it passes element B. \;:-/t 9('l three hundred m F12-28 F12-29. If the automobile decelerates uniformly alongside the curved highway from 25 m/ s at A to fifteen m/s at C, ensure the acceleration of the automobile at B. PB o n F12-31 F12-32. the automobile travels up the hill with a pace of v = (0. 2s) m/s, the place s is in meters, measured from A. confirm the value of its acceleration whilst it really is at aspect s = 50 m, the place p = 500 m . = three hundred m F12-29 F12-32 1 2. 7 CURVILINEAR movement: general AND TANGENTIAL elements sixty one seasoned B L E M S 12-111. while designing a road curve it really is required that autos touring at a continuing velocity of 25 m/ s mustn't ever have an acceleration that exceeds three m/ s2 . make sure the minimal radius of curvature of the curve. -12-117. ranging from leisure the motorboat travels round the round direction, p = 50 m, at a pace v = (0. 8t) mis, the place t is in seconds. ascertain the magnitudes of the boat's pace and acceleration whilst it has traveled 20 m. *12-112. At a given quick, a motor vehicle travels alongside a round curved highway with a velocity of 20 m/s whereas reducing its velocity on the fee of three m/ s2 . If the importance of the car's acceleration is five m/ s2 , ensure the radius of curvature of the line. 12-118. ranging from relaxation, the motorboat travels round the round direction, p = 50 m, at a velocity v = (0. 2t2) m is, the place t is in seconds. make certain the magnitudes of the boat's speed and acceleration on the rapid t = three s. -12-113. make sure the utmost consistent velocity a race motor vehicle could have if the acceleration of the automobile can't exceed 7. five m /s2 whereas rounding a song having a radius of curvature of two hundred m. 12-114. An motor vehicle is touring on a horizontal round curve having a radius of 800 feet. If the acceleration of the auto is five ft/S2 , ascertain the consistent pace at which the auto is touring.

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