# college Physics

posted by .

The coordinates of an object moving in the xy plane vary with time according to the following equations x = −7.16 sin ùt and y = 4.00 − 7.16 cos ùt, where ù is a constant, x and y are in meters, and t is in seconds. Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following variables as necessary: omega for ù and t.)

For the position vector I got:
-7.16sin(omega*t)i+4.00-7.16cos(omega*t)j
For the velocity vector I got:
-7.16*omega*cos(omega*t)i+7.16*omega*sin(omega*t)j
For the acceleration vecotr I got:
7.16*omega^2*sin(omega*ti)+7.16*omega^2*sin(omega*t)j

I this correct or not? My homework is computer based and when I type this in, it marks it wrong. Please help.

• college Physics -

The only two things I see wrong is you have on acceleration the unit vector i inside the argument of the sin function, and on the lst part of the acceleration vector, you should have COSINE, not sine

• college Physics -

One error
For the acceleration vector I got:
7.16*omega^2*sin(omega*ti)+7.16*omega^2*__________sin(omega*t)______j

should be

For the acceleration vector I got:
7.16*omega^2*sin(omega*ti)+7.16*omega^2*cos(omega*t)j

Note that
acceleration = - omega^2 *( sin and cos components of displacement)

## Similar Questions

1. ### Trig

4. Asked to simplify the expression sin(180−è), Rory volunteered the following solution: sin(180−è) = sin 180−sin è, and, because sin 180 is zero, it follows that sin(180−è) is the same as −sin è. …
2. ### calculus

Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 …
3. ### maths

Choose the option that gives an expression for the indefinite integral ʃ (cos(4x) + 2x^2)(sin(4x) − x) dx. In each option, c is an arbitrary constant. Options A cos(4x) + 2x^2 +c B -1/8cos(4x) + 2x^2)^2 +c C 1/4 (sin(4x) …
4. ### Pre Calculus

Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) …
5. ### Pre Calculus

Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(17ð/4) (b) sin(−17ð/4) (c) cos(17ð) (d) cos(45ð/4) (e) tan(−3ð/4) (f) …
6. ### physics

The coordinates of an object moving in the xy plane vary with time according to the equations x = −6.85 sin ùt and y = 4.00 − 6.85 cos ùt, where ù is a constant, x and y are in meters, and t is in seconds. (a) Determine …
7. ### biology

Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner?
8. ### physics

Four charges −8 × 10^−9 C at (0 m, 0 m), −7 × 10^−9 C at (5 m, 1 m), −1 × 10^−9 C at (−2 m, −3 m), and 2 × 10^−9 C at (−2 m, 4 m), are arranged in the (x, y) plane as …
9. ### MATH

Solve the following equations for x where 0 ≤ x < 2π. tan(x)sin(2x) = √3 sin (x) and cos(2x)−cos(x) = −sin2(x)+1/4  Stuck on these particular types. Have no idea how to start.
10. ### Quick calc question

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4. v(t) = t2 + cos(t) + 3 v(t) = 2 + cos(t) + 1<- my answer v(t) = t2 − cos(t) + 5 v(t) = t2 + sin(t) …

More Similar Questions