Question

MTH 31

What is the average velocity at a specific time t = t0 and t = t1 of a particle in motion where its position (y) is a real valued function of time (t); that is, y = y(t) ? What is the instantaneous velocity at t = t0? Explain with the example y = t 2 + 2t for t0 = 1 second and t1 = 2, 1.5, 1.1, 1.01 seconds.

0 0
Add a comment Improve this question Transcribed image text
Request Professional Answer

Request Answer!

We need at least 10 more requests to produce the answer.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the answer will be notified once they are available.
Know the answer?
Add Answer to:
MTH 31
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • 3.) The position of a particle is given by x(t) = 3t3 โ€“ 2t2 โ€“ 5t...

    3.) The position of a particle is given by x(t) = 3t3 โ€“ 2t2 โ€“ 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 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...

  • Can anyone solve this calculus question?

    The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s=3cos(๐œ‹t)+5cos(๐œ‹t), where t is measured in seconds. (Round answer to 2 decimal places)(a) Find the average velocity during each time period.(i) [1, 2]: 10 cm/s(ii) [1, 1.1]: __ cm/s(iii) [1, 1.01] __ cm/s(iv) [1, 1.001] __ cm/s(b) Estimaate the instantaneous velocity of the particle when t=1. __ cm/s

  • The displacement (in centimeters) of a particle moving back and forth along a straight line is...

    The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 sin ฯ€t + 2 cos ฯ€t, where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (i) [1, 2] ? cm/s (ii) [1, 1.1] ? cm/s (iii) [1, 1.01] ?cm/s (iv) [1, 1.001] ?cm/s (b) Estimate the instantaneous velocity of the particle when...

  • The position of a particle moving along the x axis is given in centimeters by x...

    The position of a particle moving along the x axis is given in centimeters by x = 9.55 + 1.01 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is...

  • y/yi PROBLEM 11.93 The damped motion of a vibrating particle is defined by the position vector...

    y/yi PROBLEM 11.93 The damped motion of a vibrating particle is defined by the position vector r +)+2co2,where r is expressed in seconds. For 30 mm and y,-20 min, determine the position, the velocity, and the acceleration of the particle when (a) t0, (b) t-1.5 s. 1.0 0.5 0 0.4 06 t 0.2 -0.5

  • Problem #1 The motion of a particle is defined as x=t2-8t + 7 and y =...

    Problem #1 The motion of a particle is defined as x=t2-8t + 7 and y = 0.5t? + 2t-4 where x and y are in meters and t is in seconds. Determine the following: (a) The magnitude of the smallest velocity reached by the particle (b) The time, position, and direction of that velocity

  • Problem # 4 (Graded) The motion of a particle is defined as x t2-8t7 and y...

    Problem # 4 (Graded) The motion of a particle is defined as x t2-8t7 and y 0.5t2 +2t 4 where x and y are in meters and t is in seconds. Determine the following: (a) The magnitude of the smallest velocity reached by the particle (b) The time, position, and direction of that velocity.

  • 8. A student rolls a marble alongside a meterstick to measure its velocity. At t1 =...

    8. A student rolls a marble alongside a meterstick to measure its velocity. At t1 = -2.5 s, its position is x1 = 4.3 cm, and at t2 = 4.5 s it is at x2 = 18.5 cm. Determine its average velocity during this time interval. 9. The position of a ball rolling along a straight line is given by ? = 1.8โˆ’3.6? +1.5?2, where x is in meters and t is in seconds. Determine the average velocity of the...

  • 3. A particle moves according to the function 3-5t2 4 where 0 is in radians and...

    3. A particle moves according to the function 3-5t2 4 where 0 is in radians and t is in seconds. (a) Find the angular velocity of the particle at 1 s and t-2 s, (b) Find the average instantaneous acceleration between t-1 and t = 2 s. (c) what is the angular position of the particle at the first time when the angular velocity is 0?

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