elica85 3 years ago the motion of a particle is defined by the equations x=(2t+t^2) and y=(t^2) where t is in seconds. determine the normal and tangential components of the particle's velocity and acceleration when t=2s.

1. elica85

i was able to get the speed although i don't know if i did it the right way. find dx/dt and dy/dt, plug in t=2, |v|=7.21m/s

2. Pallavi06

different the both equations with respect to time to find the equations of velocities in normal and tangential direction.... put t=2 to find value of velocty at that time......

3. elica85

4. elica85

so i'm stuck on finding a_n and a_t

5. Pallavi06

u have to find normal and tangential velocity....why are u finding a_n and a_t???

6. Pallavi06

and a_t is 2 ....

7. elica85

that's what the problem asks. i already found v_t ^^^ and v_n=0.

8. elica85

a_t is not 2 according to answer on the back

9. elica85

that's what i thought since a=second derivative of x(t)

10. elica85

but it's not..

11. Pallavi06

the equations shows that partical is moving in a parabolic path....

12. elica85

right, so..

13. elica85

gotta run, i appreciate the help. i will check back later, thx thx thx

14. Pallavi06

hey $a (total) = \sqrt{a_t ^{2}+a_n ^{2}}$

15. Pallavi06

i am sorry coudnt help u more than this....