Unit 0 Slides OnRamps

​Unit 0 Intro To Physics

By Benjamin Toner

Multiple Select

Solve for a

v=v_o+at

• a = vt / v_o

• a = (v - v_o) / t

• a = v_o - v / t

• a = v + v_o * t

• $$a\ =\ \frac{v\ -\ v_o}{t}$$

Multiple Choice

Solve for v

$$P=\frac{2}{3}\left(\frac{N}{V}\right)\left(\frac{1}{2}\right)mv^2$$

• $$v=\sqrt[]{\frac{3PV}{Nm}}$$

• $$V=\frac{1}{3}\cdot\frac{N}{P}\cdot\frac{1}{2}mv^2$$

Multiple Choice

Solve for v_o

$$v^2=v_o^2+2a\left(x-x_o\right)$$

• $$v_o=v-2a\left(x-x_o\right)$$

• $$v_o=v-\sqrt[]{2a\left(x-x_o\right)}$$

• $$v_o=\sqrt[]{v^2-2a\left(x-x_o\right)}$$

• $$v_o=\sqrt[]{v-2a\left(x-x_o\right)}$$

Fill in the Blank

What is the length of the hypotenuse?

_____ cm.

Fill in the Blank

$$\sin\left(\theta\right)=$$ __

.

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What is the cosine of theta?

__

.

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What is the tangent of the angle?

__

.

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What is the cosecant of the angle?

__

.

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What is the secant of the angle?
sec 𝜃 = __

.

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What is the cotangent of the angle?

__

.

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Calculate the angle theta.

__°

.

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A plane takes off at an angle. If the plane traveled a diagonal distance of 50,000 ft to reach
an altitude of 10,000 ft, what was the angle of the plane as it took off?

__⁰

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Multiple Choice

A carpenter is building a roof on a house with a peak in the middle. If the carpenter knows
the angle between the roof and its base, and how much the roof rises above its base, how
can they calculate the width of the roof?
__

• $$x=\frac{y}{\tan\left(\theta\right)}$$

• $$y=\frac{x}{\tan\left(\theta\right)}$$

• $$\tan\left(\theta\right)=\frac{y}{x}$$

• $$\tan\left(\theta\right)=\frac{x}{y}$$

Fill in the Blank

Cynthia plants a tomato seedling when it is 5 cm tall. After 100 days, it has grown to 1.25
meters tall. Assuming the plant grew at a linear rate, by how much did it grow each day?
__cm/day

[Graph it]

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Multiple Choice

The population of Texas in 2010 was approximately 25,000,000 people and grew to
approximately 31,000,000 people by 2024.
Assuming this growth was linear, write an equation for the population of Texas as a
function of time in years.

__

[Hint for this and next ones, plot a graph]

[ $$p_i=Initial\ Population$$ ]

$$r\ =\ rate\ of\ change$$

$$t\ =\ time$$

• $$p\left(t\right)=rt+p_i$$

• $$p\left(t\right)=p_it+r$$

• $$p\left(t\right)=5t-p_i$$

Fill in the Blank

The population of Texas in 2010 was approximately 25,000,000 people and grew to
approximately 31,000,000 people by 2024.

By approximately how many people is the population growing each year?

__people/year

,

Fill in the Blank

The population of Texas in 2010 was approximately 25,000,000 people and grew to
approximately 31,000,000 people by 2024.

If the population continues to grow at this rate, what would you estimate the
population would be in the year 2100?

__People

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,

Poll

How difficult was this for you on a scale of 1-5

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