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. 
http://matrix.skku.ac.kr/cal-lab/cal-13-4-1.html
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?
http://matrix.skku.ac.kr/cal-lab/cal-13-4-15.html
16-20. Find the tangential and normal components of the acceleration vector.
16. 
http://matrix.skku.ac.kr/cal-lab/cal-13-4-16.html
