Mathematics

Mathematics

Problem

For 0≤t≤40\le t\le 4, the position of a moving object is s(t)=3t2−12t+5s(t)=3t^{2}-12t+5 feet. Which statement correctly compares the object’s average velocity on [0,4][0,4] with its instantaneous velocity at t=2t=2? a) The average velocity on [0,4][0,4] is positive, while the instantaneous velocity at t=2t=2 is negative. b) Both the average velocity on [0,4][0,4] and the instantaneous velocity at t=2t=2 are 0 ft/s0\text{ ft/s}. c) The average velocity on [0,4][0,4] is positive, while the instantaneous velocity at t=2t=2 is 0 ft/s0\text{ ft/s}. d) The average velocity on [0,4][0,4] is 0 ft/s0\text{ ft/s}, while the instantaneous velocity at t=2t=2 is positive.

Browse the problem library