Question

A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2


Average and Instantaneous Velocity 

A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2, where x is in meters and t is in seconds. The position-time graph for this motion is shown in the figure. Notice that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment t = 1 s, and moves in the positive x direction at times t >> 1s 

image.png

(A) Determine the displacement of the particle in the time intervals t = 0 to t = 1 s and t = 1 s to t = 3 s. 

(B) Calculate the average velocity during these two time intervals 

(C) Find the instantaneous velocity of the particle at t = 2.5 s.

2 1
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2
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
  • The position of a particle moving with constant acceleration is given by x(t) = 2t2 +...

    The position of a particle moving with constant acceleration is given by x(t) = 2t2 + 4t + 4 where x is in meters and t is in seconds. (a) Calculate the average velocity of this particle between t = 2 seconds and t = 4 seconds. 16 m/s Correct: Your answer is correct. (b) At what time during this interval is the average velocity equal to the instantaneous velocity? (c) How does this time compare to the average time...

  • 3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t...

    3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...

  • A 5.60-kg particle moves along the x axis. Its position varies with time according to x...

    A 5.60-kg particle moves along the x axis. Its position varies with time according to x = t + 4.0t3, where x is in meters and t is in seconds. (a) Find the kinetic energy of the particle at any time t. (Use the following as necessary: t.) K =   (b) Find the magnitude of the acceleration of the particle and the force acting on it at time t. (Use the following as necessary: t.) a = F = (c)...

  • The position of a particle moving along the x axis varies in time according to the...

    The position of a particle moving along the x axis varies in time according to the expression x = 3t2, where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at 3.00 s + Dt. (c) Evaluate the limit of Dx/Dt as Dt approaches zero, to find the velocity at t = 3.00 s.

  • A particle moves along the x axis. Its position is given by the equation x =...

    A particle moves along the x axis. Its position is given by the equation x = 1.5 + 2.9t − 3.6t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. m (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) m/s

  • A particle moves along the x axis. Its position is given by the equation x =...

    A particle moves along the x axis. Its position is given by the equation x = 2.1 + 2.7t − 3.5t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. m (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) m/s

  • A particle moves along a straight a) The average velocity on the line with equation of...

    A particle moves along a straight a) The average velocity on the line with equation of motion interval [3,4] s= f(t) = t? - 60 + 10, b) The instantaneous velocity. Where S is measured in meters and t in seconds. find the C) The instantaneous velocity when following: t = 4 seconds. The growth of a bacterial population is represented by the function f(t) = 1 + 5t - 2t2 Where t is the time measured in hours find...

  • A particle moves along the x axis. Its position is given by the equatio

    A particle moves along the x axis. Its position is given by the equation x = 1.5+ 2.5t -3.8t2 with x in meters and t in seconds.  (a) Determine its position when it changes direction (b) Determine its velocity when it returns to the position it had at t =0? (Indicate the direction of the velocity with the sign of your answer.) 

  • A particle moves along the x axis. Its position is given by the equation x =...

    A particle moves along the x axis. Its position is given by the equation x = 1.8 + 2.5t − 3.8t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) I have a) as 2.21m, i am having issues solving part (b).

  • The vector position of a particle varies in time according to the expression r = 8.20...

    The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...

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