Question 3. A particle initially i'noving backwards at 1 111/ 3 moves linearly with acceleration _(,2 a.(t) : ta for f. 2 U (in seconds). Determine a formula for the average velocity of the particle for the first T seconds of motion. Using this formula for average velocity, calculate the initial instantaneous velocity. Does this match with what is known about the particle?What is the formula for the displacement of the particle within the first T seconds of motion? Qualitatively describe the motion of the particle (i.e. describe it informally in English). When is it speeding up/slowing down? When is it moving forward /backward?What is the maximum distance travelled by the particle? (hint: c2 dx = VT