A particle moves along the y-axis so that its velocity v at time t is greater than or equal to 0 is given by v(t)=1 - arctan(e^t). At time t=0, the particle is at y= -1.
B) Is the speed of the particle increasing or decreasing at time t=2? Give a reason for your answer.
C)Find the time t is 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 answer.
B) Is the speed of the particle increasing or decreasing at time t=2? Give a reason for your answer.
C)Find the time t is 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 answer.