A Particle travels on the x-axis so its velocity at time t is given by v(t)=1/2-sin(t), where t is between 0 and 2pi, inclusive.
A. For what values of t is the particle moving to the right?
B. If the particle starts at x=3, what is the final position of the article?
C. What is the total distance traveled by the particle?
D. When t=pi/4, is the speed of the particle increasing or decreasing?

Question

A Particle travels on the x-axis so its velocity at time t is given by v(t)=1/2-sin(t), where t is between 0 and 2pi, inclusive. 
A. For what values of t is the particle moving to the right?
B. If the particle starts at x=3, what is the final position of the article?
C. What is the total distance traveled by the particle?
D. When t=pi/4, is the speed of the particle increasing or decreasing?

shubhamsrg · Answer

The particle will be moving on the right when v>0

shubhamsrg · Answer

x =dv/dt