A particle moves along the y-axis so that its velocity v at a time t equal or greater than 0 is give by v(t)- 1 i tan ^-1 (e^t). at time t=0, the particle is at y=-1.
( x=arc tan x)
a. find the acceleration of the particle at time t=2
b. is the speed of the particle increasing or decreasing at time t=2? give a reason for your answer.
c. find the name t greater than or equal to 0 at which the particle reaches its highest point. justify your answer.
d. find the position of the particle at time t=2. is the particle moving toward the origin or away from the origin at time t=2. justify your a

Question

A particle moves along the y-axis so that its velocity v at a time t equal or greater than 0 is give by v(t)- 1 i tan ^-1 (e^t). at time t=0, the particle is at y=-1. 
( x=arc tan x)
a. find the acceleration of the particle at time t=2
b. is the speed of the particle increasing or decreasing at time t=2? give a reason for your answer.
c. find the name t greater than or equal to 0 at which the particle reaches its highest point. justify your answer.
d. find the position of the particle at time t=2. is the particle moving toward the origin or away from the origin at time t=2. justify your a