Aparticle moves along a line so that its position at any time is t> 0 or t=0 is given by the function s(t)=()+(8t)+2 where s is measured in meters and t is measured in seconds. a) find instantaneous velocity at any time t. b) find acceleration of the particle at any time t. c) when is the particle at rest? . d) describe motion of the particle. at what values of t does the particle change directions

Aballoon is rising vertically upwards at a velocity of 10m/s. when it is at a height of 45m from the ground, a parachute bails out from it. after 3s he opens his parachute and decelerates ata a constant rate 5m/s.when. (a) what was the height of the parachutist above the ground when he opened his parachute? (b)how far is the parachutist from the balloon at t=3s? (c)with what velocity does the parachutist hit the ground? (d)after how long does the parachutist hit the ground after his exist from the balloon?