a particle moves along the x-axis so that at time t≥0 its position is given by x(t)=2t3−9t2−60t 4. what is the total distance traveled by the particle over the time interval 0≤t≤7 ?

Asmall object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. the upper end of the rope is attached to the ceiling. as the object swings through its lowest position, where the rope is vertical, the speed of the object is 5.80 m/s. at this point in the motion, what is the tension in the rope? (use g = 9.80 m/s2.)