VECTOR VALUED FUNCTIONS
Section 10-3-E
8) The position vector of the particle is given by
3t 2 , t 3  3t 2  4
a) Graph the path of the particle on the interval
[0, 2]
y



x







b) Find the velocity vector when t = 1
8) The position vector of the particle is given by
3t 2 , t 3  3t 2  4
c) Find the speed of the particle at time t = 1
d) Find the distance between t = 0 and t = 3
8) The position vector of the particle is given by
3t 2 , t 3  3t 2  4
e) Find the times when the particle is at rest
f) Find the direction of the particle at time t = 1
and when t = 2
9) A particle is moving in the xy-plane with
acceleration vector a(t )   2 cos t ,3 sin t at t  0
Its velocity vector is v(0)  0, 3
2
And its position vector is s(0)  2,
2
a) Find the velocity vector when t 

4
9) velocity vector from part (a) v(t )   2 sin t ,3 cos t
2
And its position vector is s(0)  2,
2
b) Find the position vector when t  
4
(9)

c) Find the speed when t 
4
9)
d) Find the times when the particle is at rest

e) Find the direction of the particle when t 
4
9)
f) Find the distance traveled between
t  0 and t  2
HOME WORK
Worksheet: 10-3-E