a) At time

t>=0

, the position of an object moving along the

s

-axis is

s=t(6-2t)^(2)

, with

t

in seconds

s

in meters.\ (i) When is the object moving forward? Backward?\ (5 Marks)\ (ii) When is the object's velocity increasing? Decreasing?\ (4 Marks)\ (iii) Find the total distance traveled by the object from

t=0

to

t=5

.\ (2 Marks)

At time t0, the position of an object moving along the s-axis is s=t(62t)2, with t in seconds s in meters. (i) When is the object moving forward? Backward? (5 Marks) (ii) When is the object's velocity increasing? Decreasing? (4 Marks) (iii) Find the total distance traveled by the object from t=0 to t=5. (2 Marks)