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A motocross rider performs a triple jump maneuver from point B to point C. The combined mass of the rider and motorcycle is 165 kg. The curvature of the ramp between point A and point B is described by the function y = 0.64x² - 1.6x, where the origin is at point A and both x and y are measured in meters. (a) Show that the angle of the ramp at point B is approximately 57.995°. (b) In order to land at point C, determine the speed at which the rider must leave the ramp at B. Motorcycle jump (https://www.bertsmegamall.com/blog) (c) If the rider's speed increases at a constant rate from 5.5 m/s at point A to the computed speed at point B found in part (b), determine the motorcycle's constant tangential acceleration knowing that the arc length traveled along the ramp from A to B is 3.3 meters. (d) At point B just before leaving the ramp, determine the normal force exerted by the ground. on the motorcycle and the traction force (forward force parallel to the surface) between the motorcycle and the ground. (Treat the motorcycle as a particle.) y (m) x (m) y = 0.64x²-1.6x 2.5 m B 6.5 m

A motocross rider performs a triple jump maneuver from point B to point C. The combined mass of the rider and motorcycle is 165 kg. The curvature of the ramp between point A and point B is described by the function y = 0.64x² - 1.6x, where the origin is at point A and both x and y are measured in meters. (a) Show that the angle of the ramp at point B is approximately 57.995°. (b) In order to land at point C, determine the speed at which the rider must leave the ramp at B. Motorcycle jump (https://www.bertsmegamall.com/blog) (c) If the rider's speed increases at a constant rate from 5.5 m/s at point A to the computed speed at point B found in part (b), determine the motorcycle's constant tangential acceleration knowing that the arc length traveled along the ramp from A to B is 3.3 meters. (d) At point B just before leaving the ramp, determine the normal force exerted by the ground. on the motorcycle and the traction force (forward force parallel to the surface) between the motorcycle and the ground. (Treat the motorcycle as a particle.) y (m) x (m) y = 0.64x²-1.6x 2.5 m B 6.5 m

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A motocross rider performs a triple jump maneuver from point B to point C. The combined mass of the rider and motorcycle is 165 kg. The curvature of the ramp between point A and point B is described by the function y = 0.64x² - 1.6x, where the origin is at point A and both x and y are measured in meters. (a) Show that the angle of the ramp at point B is approximately 57.995°. (b) In order to land at point C, determine the speed at which the rider must leave the ramp at B. Motorcycle jump (https://www.bertsmegamall.com/blog) (c) If the rider's speed increases at a constant rate from 5.5 m/s at point A to the computed speed at point B found in part (b), determine the motorcycle's constant tangential acceleration knowing that the arc length traveled along the ramp from A to B is 3.3 meters. (d) At point B just before leaving the ramp, determine the normal force exerted by the ground. on the motorcycle and the traction force (forward force parallel to the surface) between the motorcycle and the ground. (Treat the motorcycle as a particle.) y (m) x (m) y = 0.64x²-1.6x 2.5 m B 6.5 m
Transcribed Image Text:A motocross rider performs a triple jump maneuver from point B to point C. The combined mass of the rider and motorcycle is 165 kg. The curvature of the ramp between point A and point B is described by the function y = 0.64x² - 1.6x, where the origin is at point A and both x and y are measured in meters. (a) Show that the angle of the ramp at point B is approximately 57.995°. (b) In order to land at point C, determine the speed at which the rider must leave the ramp at B. Motorcycle jump (https://www.bertsmegamall.com/blog) (c) If the rider's speed increases at a constant rate from 5.5 m/s at point A to the computed speed at point B found in part (b), determine the motorcycle's constant tangential acceleration knowing that the arc length traveled along the ramp from A to B is 3.3 meters. (d) At point B just before leaving the ramp, determine the normal force exerted by the ground. on the motorcycle and the traction force (forward force parallel to the surface) between the motorcycle and the ground. (Treat the motorcycle as a particle.) y (m) x (m) y = 0.64x²-1.6x 2.5 m B 6.5 m
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