Could you help me with my calc work?

A particle moves acco ding to a law of motion s - /{t), t 2 0, where t is measured In seconds and s in feet. (If an answer does not exist, enter DINE.) (3) Find the velocity (in ft/s) at time t. ft/'s (b) What is the velocity (in ft/s) after 1 second? M(1) - tt / s (c) When is the particle at rest? (Use the parameter in as necessary to represent any Integer.) (d) When is the particle moving direction for D s t s 67 (Enter your answer using interval notation.) (e) Find the acceleration (In fty's ) at time r. alt) - ft/s2 Find the acceleration (In ft/s") after 1 send. a(1) - tt/'s (f) Graph the position, velocity, and acceleration functions for D s t s 6. O -W 6 is (g) When is the particle spe beding up for 0 s t s 67 (Enter yo using Interval notation.) When is it slowing down? (Enter your answer using Interval notation.)Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 2(x2 + 12)2 = 25(x2 - y?) (3, 1) (lemniscate) X X\fTwo cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing three hours later? mi/h P TutorialA boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/S, how fast is the boat approaching the dock when it is 8 m from the dock