Calculus-Sec-12-4-Solution 12.4   Motion Along A Space Curve: Velocity and Acceleration

by SGLee - HSKim - JHLee  1-5. Find the velocity, acceleration, and speed of a particle with the given position function.

Sketch the path of the particle and draw the velocity and acceleration vectors for specified value of .

1.  2.  3.  4.  5.  6-10. Find the velocity, acceleration and speed of a particle with the given position function.

6.   , , .

7.   , , .

8.   , , .

9.   , , .

10.   , , .

11-12. Find the velocity and position vectors of a particle that has the given acceleration

and the given initial velocity and position.

11.   . Since , we have . .

Since , we have .

12.   . Since , we have . .

Since , we have .

13-14. Find the position vector of a particle that has the given acceleration

and the specified initial velocity and position.

13.   . Since ,

we have . .

Since , we have .

14.   .

Since , we have . .

Since , we have . 15. The position function of a particle is given by .

When is the speed a minimum?  16-20. Find the tangential and normal components of the acceleration vector.

16.  17.  18.  19.  20.   