For our first example of motion in a plane, suppose you are operating a radio-co

Question

For our first example of motion in a plane, suppose you are operating a radio-controlled model car on a vacant tennis court. The surface of the court represents the x-yplane, and you place the origin at your own location. At time t1=2.0s the car has x and y coordinates (4.0 m, 2.0 m), and at time t2=3.5s it has coordinates (7.0 m, 6.0 m).

1. Suppose you reverse the car’s motion, so that it retraces its path in the opposite direction in the same time. Find the x-component of the average velocity of the car.

2. Find the y-component of the average velocity of the car.

3. Find the magnitude of the average velocity.

4. Find the direction of the average velocity.

Explanation / Answer

x = 7.0 m - 4.0 m = 3.0 m,

y = 6.0 m - 2.0 m = 4.0 m,

and t = 1 s

X-component = 3/1 = 3m/s

Y-component = 4/1 = 4m/s

Magnitude2 = (32 + 42)

magnitude of the average velocity = 5m/s

direction = tan-1(4/3) = 53 degrees

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