A stationary 19 kg object is located on a table near the surface of the earth. The coefficient of static friction between the surfaces is 0.30 and the coefficient of kinetic friction is 0.12.
A horizontal force of 67 N is applied to the object.
Step1: Find Static Friction
Step2: Find Kinetic Friction
Step3: Find Applied force
Step 4: is it balanced or unbalanced? How do you know?
Step 5: find acceleration (A = Fapp - Force of Kinetic Friction /M)

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

I'm kinda lost ! 1. when marilyn takes her pet dog for a walk, the dog walks at a veryconsistent pace of 0.55 m/s. draw a position-time graph to representmarilyn's dog walking the 19.8 m distance from the front of her house tothe nearest fire hydrant.2. both car a and car bleave school when a stopwatch reads zero. car atravels at a constant 75 km/h, and car b travels at a constant 85 km/h.a) draw a position-time graph showing the motion of both cars. howfar are the two cars from school when the stopwatch reads 2 hrs? calculate the distances and show them on your graph.b) both cars passed a gas station 120 km from the school. when dideach car pass the gas station? calculate the times and show themon your graph.3. the figure below shows the position-time graph showing a shopper'smovement up and down the aisle at a store.a) write a story describing the shopper's movements at the store.b) when does the shopper have a position of 6 m? c) how much time passes between when the shopper enters the aisleand when he gets to a position of 12 m? what is the shopper's averagevelocity between 37 s and 46 s?

(**i would really appreciate if this was answered soon** ) which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion?