Q: A material has a density of $$7.50\ \mathrm{g/cm^3$}. $$What is this density in $$\mathrm{kg/m^3$}$$?

$$7.50 \times 10^3$\ \mathrm{kg/m^3$}$$

Question 1

A material has a density of $$7.50\ \mathrm{g/cm^3$}. $$What is this density in $$\mathrm{kg/m^3$}$$?

Accepted Answer

$$7.50 	imes 10^3$\ \mathrm{kg/m^3$}$$

Question 2

Refer to the velocity-time graph (first image). What is the magnitude of the acceleration?

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

Question 3

Based on the velocity-time graph (first image), is the object speeding up or slowing down?

Accepted Answer

Slowing down

Question 4

Given the position function $$x(t) = 3.0t^3$ - 5.0t^2$ + 2.0t$$, what is the velocity at $$t = 1.0\ \mathrm{s}$$?

Accepted Answer

$$1\ \mathrm{m/s}$$

Question 5

For the same position function $$x(t) = 3.0t^3$ - 5.0t^2$ + 2.0t$$, what is the instantaneous acceleration at $$t = 2.0\ \mathrm{s}$$?

Accepted Answer

$$26\ \mathrm{m/s^2$}$$

Question 6

A car travels $$60.0\ \mathrm{km}$$ east in $$1.0\ \mathrm{h}$$, then $$30.0\ \mathrm{km}$$ west in $$0.50\ \mathrm{h}. $$What are the displacement and total distance traveled?

Accepted Answer

Displacement = $$30.0\ \mathrm{km}$$ east, distance = $$90.0\ \mathrm{km}$$

Question 7

A volcano ejects rocks at $$165.0\ \mathrm{m/s}. $$What is the maximum height above the volcano reached by these rocks? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.39\ \mathrm{km}$$

Question 8

On the Moon ($$g = 1.62\ \mathrm{m/s^2$}$$), a rock is thrown straight upward with $$v_0 = 12.0$$\ \mathrm{m/s}$$. What maximum height does it reach?

Accepted Answer

$$44\ \mathrm{m}$$

Question 9

Refer to the rectangle and vectors diagram (third image). Which vector equation is correct?

Accepted Answer

$$\vec{B} - \vec{A} = \vec{C}$$

Question 10

Let $$\vec{P} = (6.0\hat{i} + 8.0\hat{j})\ \mathrm{m}$$ and $$\vec{Q} = (-4.0\hat{i} + 3.0\hat{j})\ \mathrm{m}. $$What is $$\vec{R} = \vec{P} + \vec{Q}$$?

Accepted Answer

$$\vec{R} = (2.0\hat{i} + 11.0\hat{j})\ \mathrm{m}$$

Question 11

Let $$\vec{D} = (-12.0\hat{i} - 5.0\hat{j})\ \mathrm{m}. $$What is the direction of $$\vec{D} ($$degrees, counterclockwise from $$+x$$)?

Accepted Answer

$$203^\circ$$

Question 12

A cart rolls up a $$30^\circ$$ incline, comes to a stop, then rolls back down. At the highest point, which statement is correct about velocity ($$v) $$and acceleration ($$a$$)?

Accepted Answer

$$a is $$nonzero and $$v is $$zero.

Question 13

A cart starts from rest and rolls down a $$50\ \mathrm{cm}$$ long $$30^\circ$$ incline. What is its velocity at the bottom?

Accepted Answer

$$2.2\ \mathrm{m/s}$$

Question 14

A ball is thrown vertically upward with an initial velocity of $$20\ \mathrm{m/s}. $$What is the total time the ball spends in the air before returning to the thrower's hand? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$4.08\ \mathrm{s}$$

Question 15

A runner accelerates uniformly from rest to $$8.0\ \mathrm{m/s} in$$ $$4.0\ \mathrm{s}. $$What is the runner's acceleration?

Accepted Answer

$$2.0\ \mathrm{m/s^2$}$$

Question 16

A car moves with a constant velocity of $$15\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then accelerates at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is the total distance traveled?

Accepted Answer

$$200\ \mathrm{m}$$

Question 17

A projectile is launched horizontally from a $$45\ \mathrm{m}$$ high cliff with a speed of $$10\ \mathrm{m/s}. $$How far from the base of the cliff does it land? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$30\ \mathrm{m}$$

Physics with Calculus: Step-by-Step Guidance for Example Quiz 1

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