If a particle’s position is given by $x = 4- 12t + 3t^2$ (where t is in seconds and x is in meters), what is it moving in the positive or negative direction of x just then?

A holding pen for cattle must be square and have a diagonal length of 100 meters. a. Determine the length of a side of the pen. b. Determine the area of the pen.

Which unit of measure is the most appropriate for measuring the distance from Jupiter to the Sun, $460$ million miles or $741$ billion meters? Explain.

Find the work done by a force $\mathbf{F}=-4 \mathbf{k}$ newtons in moving an object from (0,0,8) to (4,4,0), where distance is in meters.

Let the variable m be the mass of a student. Which of the following is NOT a possible value that m can have? a) 51 kilograms. b) 51,000 grams. c) 51 meters.

A 0.60-kg mass vibrates according to the equation $x=0.45 \cos 6.40 t,$ where x is in meters and t is in seconds. Determine the total energy.

A one-celled, aquatic organism called a dinoflagellate is 1000 micrometers long. a. One micrometer is 10ˉ⁶ meter. What is the length of the dinoflagellate in meters?

The position of an object is given by $x=A t+B t^2$, where $x$ is in meters and $t$ is in seconds. What are the velocity and acceleration at $t=6.0 \mathrm{~s}$ ?

A $0.650-\mathrm{kg}$ mass oscillates according to the equation $x=0.25 \sin (4.70 t)$ where $x$ is in meters and $t$ is in seconds. Determine the frequency.

The length of a sheet of standard (letter size) paper is closest to: a. 0.11 meters b. 11 centimeters c. 29 centimeters d. 279 millimeters

Write the following (which are not SI units) using prefixes (but not their abbreviations). For example, $10^3$ meters $=$ 1 kilometer:

$(b) 10^9$ low.

Use the position function s (in meters) to find the velocity at time t=a seconds. $s(t)=-4.9 t^{2}+5$, a=1

The rim of the basket in a basketball court encloses a circle with an area of about 0.16 square meters. What is the diameter of the basket, to the nearest hundredth of a meter?

A 2.00-kg mass vibrates according to the equation $x=0.650 \cos 7.40 t,$ where x is in meters and t in seconds. Determine the total energy.