Question

A particle is travelling along a 1D axis (s-axis) and its velocity is given as a function of time as, v(t) 3t2-5 in m/s. The initial position of the particle is so 10 m, at time t 0 seconds a) Derive expressions for acceleration, a(t), and position, s(t), using the integral/derivative relationships for acceleration, velocity, and position as functions of time. b) Using your formulas from part a, calculate the velocity, acceleration, and position of the particle for every 1 second fromt 0 to 5 seconds, and Example of Table Layout for part b t (sec.) v (m/s) a (m/s2) s (m) 0 4 5

0 0
Add a comment Improve this question Transcribed image text
Answer #1

v (t) = 3t2-5 dt 3 IO 6 2 구 22 42 3 12 S 4 110 一 30kindly give rating

Add a comment
Know the answer?
Add Answer to:
A particle is travelling along a 1D axis (s-axis) and it's velocity is given as a...
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
  • For each case of 1D motion (along an axis s), use the kinematic definitions to derive...

    For each case of 1D motion (along an axis s), use the kinematic definitions to derive the solution (i.e. use a dv/dt, v-ds/dt, vdv-ads to derive equations - show all work). a) The acceleration of a particle is given as a =-0.0402 lft/s). If the particle has an initial velocity of vo - 1200 ft/s, determine the distance travelled by the particle when its final velocity is 600 ft/s. Use so 0 for the initial position. b) Ifthe velocity of...

  • Given A position of a particle which moves along a straight line is defined by the...

    Given A position of a particle which moves along a straight line is defined by the relation'小64-m» 40, where s is expressed in feet and t in seconds Find a) O b) Or derive the equation of the particle's acceleration as a c) The time at which the velocity will be zero. d) The position of the particle when the velocity is zero. e) The acceleration of the particle when the velocity is zero. t) The displacement of the particle...

  • A particle travels along a straight line with a velocity v=(12-3t2) m/s, where t is in...

    A particle travels along a straight line with a velocity v=(12-3t2) m/s, where t is in seconds. When t=1s, the particle is located 10m to the left of the origin. Determine the acceleration when t=4s, the displacement from t=0 to t=10s, the distance the particle travels during this time period.

  • The velocity of a particle traveling in a straight line is given by v (6t-3t2) m/s,...

    The velocity of a particle traveling in a straight line is given by v (6t-3t2) m/s, where t is in seconds. Suppose that s 0 when t0. a. Determine the particle's deceleration when t3.6s b. Determine the particle's position when t 3.6 s C. How far has the particle traveled during the 3.6-s time interval? d. What is the average speed of the particle for the time period given in previous part?

  • The position of a particle moving along the x axis is given by x = 5...

    The position of a particle moving along the x axis is given by x = 5 + 6t -3t2 meters, where t is in seconds. What is the average velocity during the time interval t = 2.0s to t=4.0s?

  • The position of a particle moving along an x axis is given by x = 14.0t^2...

    The position of a particle moving along an x axis is given by x = 14.0t^2 - 5.00t^3, where x is in meters and t is in seconds. Determine the position, the velocity, and the acceleration of the particle at t = 6.00 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity reached by the particle and at what time is it reached? What is...

  • The velocity of a particle constrained to move along the x-axis as a function of time...

    The velocity of a particle constrained to move along the x-axis as a function of time t is given by: v(t)=−(18/t0)sin(t/t0). Part A If the particle is at x=1 m when t=0, what is its position at t = 7t0. You will not need the value of t0 to solve any part of this problem. If it is bothering you, feel free to set t0=1 everywhere. Part B Denote instantaneous acceleration of this particle by a(t). Evaluate the expression 1...

  • The position of a particle moving along an x axis is given by x = 12....

    The position of a particle moving along an x axis is given by x = 12. t2 2.00t3 where x is in meters and t is in seconds. Determine a) the position, b the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...

  • The position of a particle moving along an x axis is given by x = 13.0t2...

    The position of a particle moving along an x axis is given by x = 13.0t2 - 3.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 6.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...

  • Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight...

    Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight line is given by v (-12+36t-6t2) ft/s, where t is in seconds. At the initial condition ( 0), so 2 ft. Find a) The acceleration of the particle as a function of time. b) The acceleration of the particle when -6 seconds. c) The position of the particle as a function of time. d) The position of the particle when -6 seconds. e) The...

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
ADVERTISEMENT