Aparticle is moving along a straight line and the acceleration is given by a(t)=3t+5, (units m/s2). a)find v(t) , the velocity at time t if the initial velocity is v(0) = -4 ft/s? b)find the total distance traveled during the time interval [0, 2]?

W= fd
where f is an applied force and d is the distance over which it is applied. when a parachuting skydiver is at constant velocity, he is experiencing "terminal velocity", the point at which his acceleration down is canceled out by air resistance. that means that the resisting force of the air is equal to his weight, but in the opposite direction. with this, we can solve for the work done by the force.
w = fd
w = (92.0)(9.81 m/s^2) (325)
w= 2.93 x 10^5 j
the value for work in this case is positive because it is pushing up on the skydiver, who has a downward force of gravity.
therefore the answer is 2.93 x 10^5 j