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-y plane, 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=3.1s it has coordinates (7.0 m, 6.0 m). For the time interval from t1 to t2, find (a) the components of the average velocity of the car and (b) the magnitude and direction of the average velocity.

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

a) vx = (x2-x1)(t2-t1) = (7-4)/(3.1-2) = 2.72 m/s

vy = (y2-y2)/(t2-t2) = (6-2)/(3.1-2) = 3.63 m/s

B) magnitude is sqrt(vx^2+vy^2) = sqrt(2.72^2+3.63^2) = 4.54 m/s

direction is theta = tan^(-1)(3.63/2.72) = 53.15 degrees above the +X-axis

if car's motion is reversed

then

1) vx = (4-7)/(3.1-2) = -2.72 m/s

2) vy = (2-6)/(3.1-2) = -3.63 m/s

3) v = sqrt(vx^2+vy^2) = sqrt(2.72^2+3.63^2) = 4.54 m/s

4) direction is theta = tan^(-1) (3.63/2.72) = 53.15 degrees below the -X-axis

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.