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Q3. The driver of a truck has a total acceleration magnitude of 0.4g as the truck passes over the top A of the hump in the road at constant speed. See figure below. (At this moment, the velocity of the truck is horizontal and rightwards.) The radius of curvature of the road at the top of the hump is 98 m, and the center of mass G of the driver (considered a particle) is 2 m above the road. Assume g = 9.81 m/s?. Compute the following exactly when the truck passes over point A. a) Calculate the speed v of the truck. (That is, the magnitude of the velocity vector v.)

Q3. The driver of a truck has a total acceleration magnitude of 0.4g as the truck passes over the top A of the hump in the road at constant speed. See figure below. (At this moment, the velocity of the truck is horizontal and rightwards.) The radius of curvature of the road at the top of the hump is 98 m, and the center of mass G of the driver (considered a particle) is 2 m above the road. Assume g = 9.81 m/s?. Compute the following exactly when the truck passes over point A. a) Calculate the speed v of the truck. (That is, the magnitude of the velocity vector v.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please help. This problem involves finding the velocity of a truck as it is traveling over a hill. I just need part a. Thank you.

Q3. The driver of a truck has a total acceleration magnitude of 0.4g as the truck passes over the top A of the hump in the road at constant speed. See figure below. (At this moment, the velocity of the truck is horizontal and rightwards.) The radius of curvature of the road at the top of the hump is 98 m, and the center of mass G of the driver (considered a particle) is 2 m above the road. Assume g = 9.81 m/s?. Compute the following exactly when the truck passes over point A. a) Calculate the speed v of the truck. (That is, the magnitude of the velocity vector v.) b) Write the acceleration vector a in Cartesian coordinates, where unit vector i is horizontal and rightwards and unit vector j is vertical and upwards. That is, write a = number) j. All motion is restricted to the x-y plane so there is no k component. (some number) i + (some A 2 m
Transcribed Image Text:Q3. The driver of a truck has a total acceleration magnitude of 0.4g as the truck passes over the top A of the hump in the road at constant speed. See figure below. (At this moment, the velocity of the truck is horizontal and rightwards.) The radius of curvature of the road at the top of the hump is 98 m, and the center of mass G of the driver (considered a particle) is 2 m above the road. Assume g = 9.81 m/s?. Compute the following exactly when the truck passes over point A. a) Calculate the speed v of the truck. (That is, the magnitude of the velocity vector v.) b) Write the acceleration vector a in Cartesian coordinates, where unit vector i is horizontal and rightwards and unit vector j is vertical and upwards. That is, write a = number) j. All motion is restricted to the x-y plane so there is no k component. (some number) i + (some A 2 m
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