An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 147 ft at an angle of 33.0° above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude ____ft direction _____° counterclockwise from the +x-axis
An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 147 ft at an angle of 33.0° above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude ____ft direction _____° counterclockwise from the +x-axis
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section1.8: Some Properties Of Vectors
Problem 1.4QQ
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An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 147 ft at an angle of 33.0° above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)
magnitude ____ft
direction _____° counterclockwise from the +x-axis
Expert Solution
Step 1: Introduction
From the given information draw a diagram of the roller coaster's motion-
Here,
and are displacement vectors.
According to the given information, the magnitude of these vectors are,
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