Prompt
A calculator is allowed on this question.
A particle is moving along the z-axis where the velocity of the particle is given by e(t)=2+ teos
position 2 at time-1.
for time >0. The particle is at
a Find all times during the interval 01S3 for which the particle's movement changes direction. Justify your answer.

b. At time-2 is the speed of the particle increasing or creasing? Justify your answer

c. Find the position of the particle at time f-4

d. Find the total distance traveled by the particle from timet-0 to timet -5