Let the velocity in miles per second of a particle in a particle accelerator after t seconds be modeled by the
function = tan ( / 6000 − / 2) on an unknown domain.
a. what is the t-value of the first vertical asymptote to the right of the y-axis?
b. if the particle accelerates to 99% of the speed of light before stopping, then what is the domain?
note: c ≈ 186000. round your solution to the ten-thousandths place.
c. how close does the domain get to the vertical asymptote of the function?
d. how long does it take for the particle to reach the velocity of earth around the sun (about 18.5 miles per
second)?
e. what does it imply that is negative up until t = 3000?