Sketch the path for a particle if its position vector is r sin t i sin 2t j, 0 curren t curren 2 Iuml (you should get a figure eight) Where is the acceleration zero Where does the acceleration vector point to the origin dT d

Question: Sketch the path for a particle if its position vector is r = sin t i + sin 2t j, 0 ¤ t ¤ 2Ï

Sketch the path for a particle if its position vector is r = sin t i + sin 2t j, 0 ‰¤ t ‰¤ 2Ï€ (you should get a figure eight). Where is the acceleration zero? Where does the acceleration vector point to the origin?

dT d

Step by Step Solution

★★★★★

3.54 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

vt cost2cos 2t at sin t4sin 2t at 0 if and only if sin t 0 a... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

955-M-C-D-E (3039).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Recall Newton's Law of Gravitation, which asserts that the magnitude F of the force of attraction between objects of masses M and m is F = GMm/r2, where r is the distance between them and G is a...

The figure shows the path of a particle that moves with position vector r(t) at time t. (a) Draw a vector that represents the average velocity of the particle over the time interval 2

The position vector of a particle at time t 0 is r(t) = (cos t + t sin t)i + (sin t - t cos t)j a. Show that the speed ds/dt = t. b. Show that aT = 1 and aN = 1.

Exercise 1. Read Example 3 (p. 773 - 774). Summarize how we can obtain the position function of an object based on its acceleration and initial velocity and position. Be sure to specify the order in...

Calculus 3 Section 13.2 Reading Assignment: Integrals of Vector Functions Question 2. Read the introduction to the subsection "The Vector and Parametric Equations for Ideal Projectile Motion" (p. 774...

E-Physics Tutorial Book Note: I have attached below the lesson for the 3 activities. Thank you so much for your time and effort. Activity 1. Directions: Use the right-hand rule to determine the...

14.1 SUMMARY . A vector-valued function is a function of the form A sample is shown fort cate with a diagram the position vectors r ( t ) = (x (1 ) . y (1), z(1) > = x(1)i + >(1)j+ z(1)k (10 - DZ + 1...

1. 5. [0/5 Points] DETAILS PREVIOUS ANSWERS LARCALC11M 12.3.025.MI. MY NOTE Use the given acceleration function and initial conditions to find the velocity vector v(t), and position vector r(t). Then...

The position of a particle in the xy-plane at time t is r(t) = (t+ 1)i + (1" - 2) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and...

Hi, I don't understand these questions and was unable to solve them. If you can please walk me through these questions and show work for all it would be really appreciated, thank you so much. 6. Find...

Christopher Bloom received a medical school scholarship created by the U.S. Department of Health and Human Services to increase the number of doctors serving rural areas. In return for this...

A 15-year promissory note for $16 500 bearing interest at 12% compounded semi- annually is discounted at 9% compounded monthly, 3 years and 4 months after the date of issue. Compute the proceeds of...

13. LO.3, 4 How does a partnership calculate depreciation on property that is contributed by a partner? If the partnership incurs additional costs that must be capitalized (i.e., transfer taxes...

Review Exhibit 12.1. These are seemingly minor issues. Discuss what would happen if they were not followed. Draw a consequence diagram, i.e. start with the lack of action and describe the result in...

The sample space is S = {0, 1, 2, 3, 4). Suppose that Pr({0}) = 0.2 Pr({1}) = 0.3 Pr({2}) = 0.4 Pr({3}) = 0.1 Pr({4}) = 0.0. Find Pr(A) and Pr(Ac) if A = {0, 1, 2} and Pr(B) if B = {0, 2, 4}. Is Pr(A...

The sample space is S = (0, 1, 2, 3, 4}. Suppose that Pr({0}) = 0.1 Pr({1}) = 0.3 Pr({2}) = 0.4 Pr({3}) = 0.1 Pr({4}) = 0.1. Find Pr(A) and Pr(Ac) if A = {0, 2} and Pr(B) if B = {3, 4}. Is Pr(A B) =...

The sample space is S = {0, 1, 2, 3, 4}. Suppose that Pr({0}) = 0.2, Pr({1}) = 0.1, Pr({2}) = 0.4, and Pr({3}) = 0.1. Find Pr(A) and Pr(Ac) if A = {4} and Pr(B) if B = {3, 4}. For the given sets and...

Amanda Rice has just arranged to purchase a $ 5 9 0 , 0 0 0 vacation home in the Bahamas with a 2 5 percent down payment. The mortgage has a 6 . 5 percent APR compounded monthly and calls for equal...

The new equipment will have a cost of $1,800,000, and it will be depreciated on a straight-line basis over a period of six years (years 1-6). The old machine is also being depreciated on a...

The Beasley Corporation has been experiencing declining earnings but has just announced a 50 percent salary increase for its top executives. A dissident group of stockholders wants to oust the...