The velocity of a particle as a function of time is given byv(t)=(3t-t )i-4 j all in S.I. units.a) What are the dimensions of the "-1 " in the – ti term?What are the units of the "3 " in the 3t i term?b) Find the position vector of the particle, r(t), if r(0) = -5 i- 2j:) Find the time ti > 0 when the position in the i direction is a maximum.d) Find a1 -> 3the average acceleration vector in the time interval 1 to 3 seconds.

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The velocity of a particle as a function of time is given by v(t)=(3t-t )i -4j all in S.I. units. a) What are the dimensions of the "-1 " in the – ti term? What are the units of the "3 " in the 3t i term? b) Find the position vector of the particle, r(t), if r(0) = -5 i- 2j