How Do You Calculate Displacement, Average Speed, and Velocity in 2D Kinematics?

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To calculate displacement, average speed, and velocity in 2D kinematics, one must consider the vector nature of velocity. The motorist's journey involves three segments: driving south, then west, and finally northwest, each with specified speeds and durations. The total displacement can be found using vector addition, applying the kinematic equation x = 1/2at^2 + vt for each segment. Average speed is calculated by dividing the total distance traveled by the total time, while average velocity is determined by dividing total displacement by total time. Understanding these concepts is crucial for solving similar kinematic problems effectively.
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A motorist drives south at 20.0m/s for 3.00 min, then turns west and travels at 25.0m/s for 2.00 min, and finally travels northwest at 3.00m/s for 1.00 min.

For the 60 min trip, find the total displacement, the average speed and the average velocity.

I'm embarrassed how I still don't understand how to do these questions.

Thank you
 
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I believe the best way to solve a problem like this is to do it yourself. But, i will tell you what you need to know. Since the velocity is a vector. This is a vector addition problem that requires the use of the kinematic equations to solve. The kinematic equation I would use is
x=1/2at^2+vt Where x stands for displacement, a for acceleration, t for time, and v for velocity.
 
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