1. The position at time t in seconds, of an object moving along a line is given by s(t) = 3 t^3 - 40.5 t^2 + 162 t for t belongs to [0, 8]. When is the object stationary?

t = 6 & t = 3 seconds

t = 6 & t = 4 seconds

t = 3 & t = 4 seconds

None of the above

2. What is the point of intersection between the line L: (x, y, z) = (-1, 3, 4) + p(6, 1, -2) & plane P: x + 2 y - z + 29 = 0

( 12, 9, 10)

(-19, 0, 10)

Infinite points of intersections

3. What is the point of intersection between the lines? : L1: vector r = (3,7,2) + m( 1, -6, 0) ; m belongs to R &L2: vector r = (-3, 2, 8) + s( 7,-1, -6) ; s belongs to R

No POI - Lines are skew

(4, 1, 2)

Infinite solutions - Lines are parallel & coincident

No POI - Lines are parallel & distinct