Study the entries and answer the question that follows.

The roots grad and gress mean "step."

The roots ced and cess mean "go."

The prefix de- means "down."

The prefix pro- means "forward."

The prefix re- means "back."

The prefix di- means "apart" or "away from."

The prefix trans- means "across" or "through."

The prefix se-means "away." In the $1860$s, the Confederate States tried to ______________ (literally, "go away") from the Union.

A car is moving forward slowly and speeding up. A student claims "the car exerts a force on itself" or "the car's engine exerts a force on the car." Argue that this idea cannot be accurate and that friction exerted by the road is the propulsive force on the car. Make your evidence and reasoning as persuasive as possible. Is it static or kinetic friction? Suggestions: Consider a road covered with light gravel. Consider a sharp print of the tire tread on an asphalt road, obtained by coating the tread with dust

A circular wheel with radius 1 ft and center C rolls to the right along the x-axis at a half-turn per second. (See the accompanying figure.) At time t seconds, the position vector of the point P on the wheel's circumference is

$$\mathbf{r}=(\pi t-\sin \pi t) \mathbf{i}+(1-\cos \pi t) \mathbf{j} .$$

At any given time, what is the forward speed of the topmost point of the wheel? Of C ?

Particle A has less mass than particle B. Both are pushed forward across a frictionless surface by equal forces for 1 s. Both start from rest. a. Compare the amount of work done on each particle. That is, is the work done on A greater than, less than, or equal to the work done on B? Explain. b. Compare the impulses delivered to particles A and B. Explain. c. Compare the final speeds of particles A and B. Explain. c. Compare the final speeds of particles A and B. Explain.

The $K_{\mathrm{c}}$ at $100^{\circ} \mathrm{C}$ is $2.0$ for the decomposition reaction of NOBr. $2 \operatorname{NOBr}(g) \rightleftarrows 2 \mathrm{NO}(g)+\mathrm{Br}_2(g)$ $In an experiment,$1.0$mole of$ $\mathrm{NOBr}$, 1.0$mole of$ $\mathrm{NO}, and$1.0$mole of$ $\mathrm{Br}$_2$were placed in a$1.0 $$ \mathrm{~L}$ container. c. If not, will the rate of the forward or reverse reaction initially speed up? $$

A basketball team has $3$ centers, $4$ guards, and $4$ forwards. A most-valuable player, captain, and most-improved player are to be chosen from the team. If all three players are to be different, in how many ways can this be done?

Consider a diff-amp, with parameters $V^{+}=5 \mathrm{~V}$, $V^{-}=-5 \mathrm{~V}$, and $I_Q=0.4 \mathrm{~mA}$. (a) Redesign the circuit such that the commonmode input voltage is in the range $-3 \leq v_{c m} \leq 3 \mathrm{~V}$, while $Q_1$ and $Q_2$ remain biased in the forward-active region. (b) Using the results of part (a), find the differentialmode voltage gain $A_d=\left(v_{c 2}-v_{c 1}\right) / v_d$.

Weddell seals foraging in open water dive toward the ocean bottom by swimming forward in a straight-line path tipped below the horizontal. The tracking data for one seal showed it taking 4.0 min to descend 360 m below the surface while moving 920 m horizontally. a. What was the angle of the seal's path below the horizontal? b. What distance did the seal cover in making this dive? c. What was the seal's speed, in m/s?

In 2001, people in some counties of Indiana did not set clocks forward in the spring to use daylight saving time. There are 92 counties in the state. Of those, 77 counties used eastern time without daylight saving. Five counties used eastern time with daylight saving. Ten counties were on central time with daylight saving. About what percent of Indiana's counties did not use daylight saving time?

The spring has a stiffness k = 50 lb/ft and an unstretched length of 2 ft. As shown, it is confined by the plate and wall using cables so that its length is 1.5 ft. A 4-lb block is given a speed $v_A$ when it is at A, and it slides down the incline having a coefficient of kinetic friction $\mu_k = 0.2$. If it strikes the plate and pushes it forward 0.25 ft before stopping, determine its speed at A. Neglect the mass of the plate and spring.

If you walk forward 5 feet and then walk backward 5 feet, you will end up exactly where you started. For each of the actions below, describe an action that will get you back where you started. a. Walk up 10 steps. b. Earn 8 dollars. c. It gets 5 degrees warmer. d. Lose 6 dollars. e. Travel south 3 kilometers. f. Run backward 9 steps.

The Latin root -jec-means "thro w." This root is found in many scientific words, such as conjecture, which means "to guess by 'throwing' facts or inferences together."
Choose the letter of the best definition for the given word below. "deject ": a. to "throw" forward b. to "throw" into c. to "throw" out of d. object designed to be "thrown" or shot e. path along which an object is "thrown" f. "thrown" away; hopeless g. state of being "thrown" down; depression h. "throw" back at

Particles of mud are thrown from the rim of a rolling wheel. If the forward speed of the wheel is $v_{0}$, and the radius of the wheel is b, show that the greatest height above the ground that the mud can go is $b+\frac{v_{0}^{2}}{2 g}+\frac{g b^{2}}{2 v_{0}^{2}}$ At what point on the rolling wheel does this mud leave? (Note: It is necessary to assume that $v_{0}^{2} \geq b g$.)

Squids can move through the water using a form of jet propulsion. Suppose a squid jets forward from rest with constant acceleration for $0.170 \mathrm{~s}$, moving through a distance of $0.179 \mathrm{~m}$. The squid then turns off its jets and coasts to rest with constant acceleration. The total time for this motion (from rest to rest) is $0.400 \mathrm{~s}$, and the total distance covered is $0.421 \mathrm{~m}$. What is the time it coasts to a stop?