Calculus word Problem A particle moves along a straight line and its position at time + is given by s ( t ) = 13 - 7.5 + 2 + 12+ where s is measured in feet and + in seconds . Goto consider tijn the [0, co] Ing Andfood of lonoit a ) what is the position of the particle at time 3 ? pistolb ) what is the velocity ult) of the particle at time F? V ( t ) = " ) what is the velocity of the particle at time 3? 2 w/70 pistond brit (sd I ) the particle stops moving (ie at rest ) twice in the interval Co, 100], once when tea and again when tab where acb U determine a and but lliw many ( NO ( ) when is the particle moving in the positive direction ? enter your answers as an interval or union OF intervals . f) when is the particle moving in the negative direction? g) what is the total distance the particle travels between time 0 and time ? ?otto animal h ) what is the acceleration act ) of the particle at time t? 9 (t ) = h2) ly and atriotime 73 2 0wa (t)IN (SJ 005 i ) when is the particle speeding up live when is the IN isvelocity , increasing in absolute value ) ? enter your answer as an interval or union of intervals ) . i 2 ) L when is the particle slowing down