Question

A particle’s motion is described by the following equations: x = 0.2cos(πt/2) y = 0.2sin(πt/2) where...

A particle’s motion is described by the following equations:

x = 0.2cos(πt/2)

y = 0.2sin(πt/2)

where x and y are in meters and t is in seconds, and the trigonometric arguments are in radians.

a. Sketch the x-component of displacement from t = 0 to t = 6 s.
b. Sketch the y-component of displacement from t = 0 to t = 6 s.

c. Write the velocity vector as a function of time.
d. Write the acceleration vector as a function of time.
e. Calculate the speed of the particle as a function of time. f. Sketch the path of the particle on an XY graph.

1 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A particle’s motion is described by the following equations: x = 0.2cos(πt/2) y = 0.2sin(πt/2) where...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 2. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

    2. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i-91+ 2krn, and s,-(10i + 8j-km a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b) If the hiker...

  • 6. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

    6. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...

  • 7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

    7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...

  • 5. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

    5. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...

  • 4. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...

    4. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...

  • 2) A particle moves in the x-y plane. Known information about the particle’s motion is given...

    2) A particle moves in the x-y plane. Known information about the particle’s motion is given below: ???? = 150?? ft/sec. and at time t = 0, x = 6 ft ?? =5??3+50?? ft a) Derive, as functions of time, the position (x), acceleration (ax), velocity (vy), and acceleration (ay). b) Using your functions, calculate, at time t = 0.25 seconds, the total magnitude of velocity ?? of the particle and the angle ????the velocity vector makes with the x-axis....

  • 7. Do the projectile motion General Motion with Unit Vectors and Components An object undergoes the...

    7. Do the projectile motion General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker...

  • The position of a particle is given by x = 3.2 cos πt, where x is...

    The position of a particle is given by x = 3.2 cos πt, where x is in meters and t is in seconds. (a) Find the maximum speed and maximum acceleration of the particle. _____________m/s _____________m/s2 (b) Find the speed and acceleration of the particle when x = 2.4 m. ______________m/s _______________m/s2

  • Motion of Particle Puntos:5 The motion of a particle moving in a circle in the x-y...

    Motion of Particle Puntos:5 The motion of a particle moving in a circle in the x-y plane is described by the equations: r(t)=9.54, Θ(t)=7.88t here Θ is the polar angle measured counter-clockwise from the x-axis in radians, and r is the distance from the origin in m. Calculate the y-coordinate of the article at the time 2.50 s. Enviar Respuesta Tries 0/5 Calculate the y-component of the velocity at the time 4.00 s? Enviar RespestaTries 0/5 Calculate the magnitude of...

  • 2. A particle has a constant acceleration of ?⃗ = (6.0 m s 2 ⁄ )?̂...

    2. A particle has a constant acceleration of ?⃗ = (6.0 m s 2 ⁄ )?̂ + (4.0 m s 2 ⁄ )?. At ̂ ? = 0, the velocity is zero and the position vector is ?⃗ 0 = (10 m)?̂. (a) Find the velocity and position vectors as a function of time ?. b)Find the equation of the particle’s path in the xy plane and sketch the path.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT