For time measured in seconds, where t ≥ 0, the velocity of a particle moving along the y-axis is given by v of t is equal to the cube root of the quantity t plus 4 end quantity comma and the particle is at y = 2 when t = 0. Which of the following gives the position of the particle after 4 seconds? answers:
y of 4 is equal to the integral from 0 to 4 of v of t times dt
y of 4 is equal to the integral from 0 to 4 of the absolute value of the quantity v of t end quantity times dt
y of 4 is equal to 2 plus the integral from 0 to 4 of v of t times dt
y of 4 is equal to 2 plus the integral from 0 to 4 of the absolute value of the quantity v of t end quantity times dt