Math - Trig

Let Vector V(t) = 2pi t î + 2pi t ĵ.

Find the vector V(1/3).
Where is the vector after the next 1/3s?
What is the angular speed?

1. 👍 0
2. 👎 0
3. 👁 112
1. V(1/3) = (2π(1/3), 2π(1/3) = (2π/3 , 2π/3)
let the angle of the vector at that moment be Ø
tanØ = (2π/3)/(2π/3) = 1

"after the next 1/3 sec", implies t = 2/3

V(2/3) = (4π/3 ,4π/3)

since tanØ = (4π/3)/(4π/3) = 1
the angle has not changed, so the angular velocity is 0

1. 👍 0
2. 👎 0

Similar Questions

1. Physics

You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector

asked by Cathy on June 23, 2013
2. Algebra 2

Find the values of the inverse function in radians. sin^-1(0.65) a. 0.71+2pi n and -0.71+2pi n b. 0.71+2pi n and -3.85+2pi n c. 0.86+2pi n and -0.86 +2pi n d. -0.61+2pi n and 2.54+2pi n 2. tan^-1(0.09) a.-0.09+2pi n b. no such

3. Vectors

Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.

4. math vectors

Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can

1. Vectors

Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.)

2. Vectors Math

For any vector Vector a find Vector a × Vector a. Explain your result.

asked by Amy on February 22, 2015
3. Vectors

Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.

4. Physics

You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer

asked by Charles on August 30, 2014
1. Calculus and vectors

Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is

asked by Ted on February 5, 2013
2. Physics

A farmer builds three sections of a fence as shown in the figure where L = 10.00 m, and gets tired. Walking straight back to where he started, how far did he go. d=? Vector on Y-axis going to origin, L/2 vector going on Positive X

asked by Ravi Shankar on January 22, 2017
3. Vectors

Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). Explain the problem that arises

asked by Aleeha on February 23, 2015
4. Physics

When two vectors vector A and vector B are drawn from a common point, the angle between them is phi. If vector A and vector B have the same magnitude, for which value of phi will their vector sum have the same magnitude as vector

asked by Ami on August 26, 2010