5. Figure 3, below, shows a rollercoaster ride. The curve of the rollercoaster is given by the equation: 1 120 y=. a) Determine p, the radius of curvature for the rollercoaster curve. b) Under certain test conditions, the rollercoaster car is at point B with a speed of 22 m/s and is accelerating at a, = 3.5 m/s². Determine the magnitude of the acceleration of the rollercoaster at this point. c) Under different test conditions, the rollercoaster starts from rest at A and its speed increases given by the equation: a = (5-0.05s) m/s². Determine the magnitude of the acceleration of the rollercoaster when it reaches point B, where s = 45 m. "dow

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter1: Introduction To Statics
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Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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5. Figure 3, below, shows a rollercoaster ride. The curve of the rollercoaster is given by the equation:
1
y = 120
a) Determine p, the radius of curvature for the rollercoaster curve.
b) Under certain test conditions, the rollercoaster car is at point B with a speed of 22 m/s and is
accelerating at a, = 3.5 m/s². Determine the magnitude of the acceleration of the rollercoaster at
this point.
c) Under different test conditions, the rollercoaster starts from rest at A and its speed increases given
by the equation: a = (5-0.05s) m/s². Determine the magnitude of the acceleration of the
rollercoaster when it reaches point B, where s = 45 m.
30 m-
"dow²
Transcribed Image Text:5. Figure 3, below, shows a rollercoaster ride. The curve of the rollercoaster is given by the equation: 1 y = 120 a) Determine p, the radius of curvature for the rollercoaster curve. b) Under certain test conditions, the rollercoaster car is at point B with a speed of 22 m/s and is accelerating at a, = 3.5 m/s². Determine the magnitude of the acceleration of the rollercoaster at this point. c) Under different test conditions, the rollercoaster starts from rest at A and its speed increases given by the equation: a = (5-0.05s) m/s². Determine the magnitude of the acceleration of the rollercoaster when it reaches point B, where s = 45 m. 30 m- "dow²
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