Question

(a) Assume the equation x = At3 + Bt describes the motion of a particular object,...

(a) Assume the equation x = At3 + Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (Use the following as necessary: L and T, where L is the unit of length and T is the unit of time.)

(b) Determine the dimensions of the derivative

dx/dt = 3At2 + B. (Use the following as necessary: L and T, where L is the unit of length and T is the unit of time.)

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

Sal both side ,Nion skould be Noww St dt

Add a comment
Know the answer?
Add Answer to:
(a) Assume the equation x = At3 + Bt describes the motion of a particular object,...
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
  • (a) Assume the equation x = At 3 +Bt describes the motion of a particular object,...

    (a) Assume the equation x = At 3 +Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (b) Determine the dimensions of the derivative dx/dt = 3At 2 +B

  • Assume the equation x= At^4 +Bt^2 describes the motion of a particular object, with x having...

    Assume the equation x= At^4 +Bt^2 describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. (a)determine the dimensions of constants A and B (b) then find the derivative of x in respect to t. (c) determine the dimensions of the derivative dx/dt.

  • Determine the dimensions of the constants A and B

    a) Assume the equation x=At3+Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time.Determine the dimensions of the constants A and B.b) Determine the dimensions of the derivative dx/dt=3At2+B

  • 2. Assume that the equation ? = ??^3 + ?? correctly describes the motion of an...

    2. Assume that the equation ? = ??^3 + ?? correctly describes the motion of an object, where ? is the position (in meters) and ? is the time (in seconds). a) What units must ? and ? have? b) What are the units of the derivative ??/???

  • So, how do we describe diffusive motion? If a particular object moves a distance Ar from...

    So, how do we describe diffusive motion? If a particular object moves a distance Ar from its original location (displacement) in a time Δ t, we cannot write down an equation that precisely relates dr and Δ, since the direction and distance moved by the object between collisions with the fluid particles is random and the time between collisions is also random. Because of these random effects, a particular object has very little chance of ever returning to the position...

  • 1. (10pts) The speed v of an object is given by the equation v = At3...

    1. (10pts) The speed v of an object is given by the equation v = At3 - Bect where t refers to time. (a) What are the dimensions of A, B, and C? (6) What are the SI units for the constants A, B and C? 2. (7pts) What units and value do the following combination of the two fundamental constants of nature (that is €o = 8.85 x 10-12 m-3 kg-1st AP and Mo = 1.26 x 10-6 m...

  • In the following questions, let Bt denote a Brownian motion with B0 = 0.

    In the following questions, let Bt denote a Brownian motion with B0 = 0. Let Xt be the solution of SDE dX, = 3X, dt + 2XtdBt and Xo = 1. (a) Write down the SDE for Yt-eatXt, where a is a constant. (b) Find the value of a such that Yt is a martingale, and give the mean and variance of Y, in this case. Let Xt be the solution of SDE dX, = 3X, dt + 2XtdBt and...

  • The position of an object is a function of time given by At4Bt where x has...

    The position of an object is a function of time given by At4Bt where x has the dimension of [L] and t has the dimension of [T]. A and B are constants. What is the required dimension of A? ????:a E) Cannot be answered without knowing B first A) B) C)

  • The motion of an object moving in simple harmonic motion is given by x(t) = (0.1...

    The motion of an object moving in simple harmonic motion is given by x(t) = (0.1 m) [cos (ot) + sin (ot)] where o = 31. (a) Determine the velocity and acceleration equations. (b) Determine the position, velocity, and acceleration at time t = 2.4 s.

  • A time-dependent, two-dimensional motion has three velocity components that are given by 1+ at 1+bt where...

    A time-dependent, two-dimensional motion has three velocity components that are given by 1+ at 1+bt where a and b are pure constants. The objective of this problem is to compare and contrast the streamlines in this flow with the pathlines of the fluid particles a) Find the equations governing the streamline that passes through the point (1.1) at time b) Calculate the path of a particle that startsar (0Vo)-(1.1) at 0. Determine the location of a particle at t-1, denoted...

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