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 = (some number) i + (some number) j. All motion is restricted to the x-y plane so there is no k component.

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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.)
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 = (some number) i + (some
number) j. All motion is restricted to the x-y plane so there is no k component.
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 = (some number) i + (some number) j. All motion is restricted to the x-y plane so there is no k component. A 2 m
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