Question

Answer two parts a)If r(t) is the position of an object, then unit tangent vector T(t)...

Answer two parts

a)If r(t) is the position of an object, then unit tangent vector T(t) is the velocity (the derivative of position). True or False

b)You start from rest (no motion) and your acceleration is the constant vector 1i-2j+3k meters/second2.

Find your velocity vector after 2 seconds.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

I hope this solution will help you to understand the problem. If so please rate the solution.

Thank you.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the unit tangent vector T and the principle unit normal vector N of ⃗r(t) =...
Find the unit tangent vector T and the principle unit normal vector N of ⃗r(t) = cos t⃗i + sin t⃗j + ln(cos t)⃗k at t = π .
A particle moves in the xy plane. Its position vector function of time is ?⃑ =...
A particle moves in the xy plane. Its position vector function of time is ?⃑ = (2?3 − 5?)?̂ + (6 − 7?4)?̂ where r is in meters and t is in seconds. a) In unit vector notation calculate the position vector at t =2 s. b) Find the magnitude and direction of the position vector for part a. c) In unit vector notation calculate the velocity vector at t =2 s. d) Find the magnitude and direction of the...
particle of mass m in R3 has position function r(t) =<x(t),y(t),z(t)>. Given that the tangent vector...
particle of mass m in R3 has position function r(t) =<x(t),y(t),z(t)>. Given that the tangent vector r0(t) has a constant length of 5, please prove that at all t values, the force F(t) acting on the particle is orthogonal to the tangent vector
An object starts with an initial velocity of -2.00i m/s. The initial position is the origin....
An object starts with an initial velocity of -2.00i m/s. The initial position is the origin. The constant acceleration = 4.10i + 3.20j m/s^2. a.) What is the initial velocity? b.) What is the vector position at t=2.00 seconds? c.) What is the velocity of the object at t=2.00 seconds? d.) What is the speed of the at t=2.00 seconds?
The position of an object in simple harmonic motion as a function of time is given...
The position of an object in simple harmonic motion as a function of time is given by ? = 3.8??? (5??/4 + ?/6) where t is in seconds and x in meters. In t = 2.0s calculate (a) the period, (b) the oscillation frequency (c) velocity and (d) acceleration.   
At a given point on a smooth space curve r(t), T(t) is the unit tangent vector,...
At a given point on a smooth space curve r(t), T(t) is the unit tangent vector, N(t) is the principle unit normal vector and B(t) is the binormal vector. Which of the following are correct? (The multiple-choice question might have more than one correct answer. Circle all correct answers for full credit.) Group of answer choices A)None of the above has to be true. B) T ( t ) ⋅ T ′ ( t ) = 0 C) | B...
Find the unit tangent vector T(t) and the curvature κ(t) for the curve r(t) = <6t^3...
Find the unit tangent vector T(t) and the curvature κ(t) for the curve r(t) = <6t^3 , t, −3t^2 >.
An object is undergoing simple harmonic motion along the x-axis. its position is described as a...
An object is undergoing simple harmonic motion along the x-axis. its position is described as a function of time by x(t)= 5.3cos(4.2t-1.9), where x is in meters, the time t, is in seconds, and the argument of the cosine is in radians. c) determine the position of the object, in meters, at the time t=2.6s? d) what the objects velocity, in meters per second, at the time t=2.6s? e) calculate the objects acceleration, in meters per second squared, at time...
the position of an object in one dimension is given by X(t)=A+Bt+Ct^2, where x is in...
the position of an object in one dimension is given by X(t)=A+Bt+Ct^2, where x is in meters and t is in seconds. find the velocity and acceleration at 3 seconds. what are the units for A, B, and C?
Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k. Where is the object at time t=1? What is...
Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k. Where is the object at time t=1? What is the velocity at t=1? What is the speed at t=1? How far does the object move from 0≤t≤1? Round your answer to 2 decimal places. * r, i, j, and k should all have vector arrows above them
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT