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The horizontal position of a 4500-N car driving down a long, flat, straight road is given by the following formula, where t is measured in seconds. x(t) = (1.2 m/s³) t³ - (1.8) ² a. Use the weight of the car to find its mass. b. What is the x-component of the car's velocity, as a function of time? c. What is the x-component of the car's acceleration, as a function of time?

The horizontal position of a 4500-N car driving down a long, flat, straight road is given by the following formula, where t is measured in seconds. x(t) = (1.2 m/s³) t³ - (1.8) ² a. Use the weight of the car to find its mass. b. What is the x-component of the car's velocity, as a function of time? c. What is the x-component of the car's acceleration, as a function of time?

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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The horizontal position of a 4500-N car driving down a long, flat, straight road is given by the following formula, where t is measured in seconds. x(t) = (1.2 m/s³) t³ - (1.8) ² a. Use the weight of the car to find its mass. b. What is the x-component of the car's velocity, as a function of time? c. What is the x-component of the car's acceleration, as a function of time? d. What is the x-component of the net force acting on the car at time t = 0.50 s, t = 1.0 s, and t = 1.5 s?
Transcribed Image Text:The horizontal position of a 4500-N car driving down a long, flat, straight road is given by the following formula, where t is measured in seconds. x(t) = (1.2 m/s³) t³ - (1.8) ² a. Use the weight of the car to find its mass. b. What is the x-component of the car's velocity, as a function of time? c. What is the x-component of the car's acceleration, as a function of time? d. What is the x-component of the net force acting on the car at time t = 0.50 s, t = 1.0 s, and t = 1.5 s?
Expert Solution
Step 1

Given:

The weight of the car is 4500 N.

The horizontal position of the car is.

xt=1.2 m/s3t3-1.8 m/s2t2                                                              ...(1)

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