Thursday

August 28, 2014

August 28, 2014

Posted by **Hannah** on Saturday, September 12, 2009 at 1:31pm.

Determine its velocity ->v as a function of time t.

Determine its acceleration ->a as a function of time t.

Determine ->r at time t = 2.5 s.

Determine ->v at time t = 2.5s.

Express your answer using two significant figures. Express your answer in terms of the unit vectors ihat and jhat.

- Physics-calc -
**MathMate**, Saturday, September 12, 2009 at 5:33pmThis is a problem of differentiation where the independent variable is t, and

**r**is the position vector.**v**is the velocity vector.**a**is the acceleration vector.

The motion is described in two orthogonal directions**i**and**j**, which means that you can do the calculations in each of the directions independently of each other.

Given**r**= (3.0t^2**i**- 6.0t^3**j**) m

The**i**and**j**components of the position vector are

Pi(t)=3.0t^2

Pj(t)=6.0t^3

So d(Pi(t))/dt = d(3t²)/dt = 6t

...

can you complete the rest?

Post your answers for a check if you wish to.

- Physics-calc -
**Hannah**, Saturday, September 12, 2009 at 6:56pmWhat it P representing? Position?

**Related Questions**

Physics urgent help needed! - Suppose the position of an object is given by ->...

Repost physics - Suppose the position of an object is given by ->r(vector...

physics - A particle moves through an xyz coordinate system while a force acts ...

physics - A particle moves through an xyz coordinate system while a force acts ...

physics - At the instant the displacement of a 2.00 kg object relative to the ...

physics - At a certain instant, a particle-like object is acted on by a force F...

physics - At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the ...

phys - At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy ...

physics - The coordinates of an object moving in the xy plane vary with time ...

PHysics - A 3.00 kg object has a velocity (5.20 ihat - 2.40 jhat) m/s. (Note: ...