Sunday

February 1, 2015

February 1, 2015

Posted by **Leslie** on Thursday, November 8, 2012 at 9:55am.

In the instant when t=0 the particle is at the point r=i-3j with the velocity v=4i-3j. Calculate the velocity and position of the particle at any instant.

I tried doing the problem and ended up just rearranging the formulas and meshing them together, which I know isn't correct. I would really appreciate a walkthrough of how to do this type of problem. Thank you!

- Physics -
**drwls**, Thursday, November 8, 2012 at 11:14amAt t = 0, x = 1 and y = -3

At t = 0, Vx = 4 and Vy = -3

At all times, ax =2 e^-t and

ay = 5 cos(t)

Solve by integration.

Vx = -2 e^-t + C

C = 6

Vy = 5 sin(t) + C'

C = -3

Vx = 2 e^-t +6

Vy = 5 sin(t) -3

(The constants were obtained from the values of Vx and Vy at t = 0)

Now integrate Vx(t) and Vy(t) and apply the initial x and y conditions at t =0, to get the solutions for x and y at any time t.

**Answer this Question**

**Related Questions**

physics - The position vector r of a particle moving in the xy plane is r=2ti+...

physics - A particle leaves the origin with an initial velocity = (2.35 m/s) and...

physics - The position of a particle moving along an x axis is given by x = 15t2...

math - Which three options are true about motion in a straight line. A. A ...

differential equation or physics - A particle moves on the x-axis with an ...

Physics - A particle starts from the origin at t = 0 and moves along the ...

Calculus - A particle starts at the point (5,0) at t=0 and moves along the x-...

science - the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, ...

calculus - 4. A particle starts at the point (5, 0) at t = 0 and moves along the...

math - Which three options are true about motion in a straight line. A. A ...