Question: Question 3. A particle initially moving backwards at 1 m/s moves linearly with acceleration a(t) : te *t2 for t 2 0 (in seconds). T

Question 3. A particle initially moving backwards at 1 m/s moves linearly with acceleration a(t) : te *t2 for t 2 0 (in

seconds). T (1) What quantity does ] fez9 dt represent? Calculate this

quantity. (Your answer should be in terms of T.) 0 (2) Determine

Question 3. A particle initially moving backwards at 1 m/s moves linearly with acceleration a(t) : te *t2 for t 2 0 (in seconds). T (1) What quantity does ] fez9 dt represent? Calculate this quantity. (Your answer should be in terms of T.) 0 (2) Determine a formula for the average velocity of the particle for the first T seconds of motion. Using this formula for average velocity7 calculate the initial instantaneous velocity. Does this match with what is known about the particle? (3) What is the formula for the displacement of the particle within the rst T seconds of motion? Qualita' describe the motion of the particle (i.e. describe it informally in English). When is it speeding up / sl( down? When is it moving forward/ backward? 00 (4) Vic-That is the maximum distance travelled by the particle? (hint: / 87m 2 cm: W?) 700

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