Q: A projectile is launched from the ground with an initial speed $$v_0 at an $$angle $$\theta$$ above the horizontal. Which equation gives the time of flight until it returns to the ground?

$$t = \displaystyle \frac{2 v_0$ \sin \theta}{g}$$

Question 1

A student walks along the path shown in the figure, starting at $$x = 0$$ and ending at $$x = -3. If $$the student moves from $$x = 0 to$$ $$x = 3$$, then to $$x = -2$$, and finally to $$x = -3$$, what are the total distance traveled and the displacement, respectively (in meters)?

Accepted Answer

$$9,\ -3$$

Question 2

Simone Biles is 4 ft. 7 inches tall. Given that $$1$$ foot $$= 12$$ inches and $$1$$ meter $$= 3.28084$$ feet, what is her height in meters to three significant figures?

Accepted Answer

$$1.42$$

Question 3

John starts at the origin and walks $$2.0\ \mathrm{km}$$ due east. He then walks $$8.0\ \mathrm{km} at$$ $$30^\circ$$ north of east. What is his distance from the origin (in km)?

Accepted Answer

$$9.8$$

Question 4

Given vectors $$\vec{A} = (3, 0)$$ and $$\vec{B} = (0, 3) (in $$meters), what is the magnitude of $$\vec{C} = \vec{A} - 2\vec{B}$$?

Accepted Answer

$$6.7$$

Question 5

A car has an initial velocity $$\vec{v} = (-34\ \mathrm{m/s}, 0). $$The driver brakes and the car comes to a stop in $$10\ \mathrm{s}$$ with constant acceleration. What are the car’s displacement (in m) and acceleration (in $$\mathrm{m/s}^2$$), respectively?

Accepted Answer

$$-170,\ -3.4$$

Question 6

A pop-up fly ball leaves the bat with a speed of $$42.0\ \mathrm{m/s}$$ and is caught at the same height. Ignoring air resistance, how long is the ball in the air (in seconds)?

Accepted Answer

$$8.6$$

Question 7

A football is kicked at $$35\ \mathrm{m/s} at an $$angle of $$33^\circ$$ with respect to the horizontal. Ignoring air resistance, what other angle (in degrees) would result in the same horizontal range?

Accepted Answer

$$57^\circ$$

Question 8

Three carts with masses $$M_1$$, $$M_2$$, and $$M_3$$ are connected and pulled to the right with force $$F as $$shown. Assuming negligible friction, what is the magnitude of the tension in the rope pulling the third cart ($$M_3$$)?

Accepted Answer

$$\displaystyle \frac{M_3$ F}{M_1$ + M_2$ + M_3$}$$

Question 9

A crate of mass $$4.5\ \mathrm{kg} is $$placed on a $$30^\circ$$ incline and remains at rest. What is the force of friction acting on the crate?

Accepted Answer

$$22\ \mathrm{N}$$

Question 10

A $$9\ \mathrm{kg}$$ bucket of water is being lifted out of a well with an acceleration of $$1.3\ \mathrm{m/s}^2. $$Ignoring air resistance, what is the tension in the rope (in N, to two significant figures)?

Accepted Answer

$$100$$

Question 11

Which of the following statements about the exam directions is true?
I. The 5-digit exam number must be bubbled in lines 76-80
II. You are allowed to take home both the exam questions and scantron
III. Students are required to print and sign their names at the top of the exam’s front page

Accepted Answer

I and III only

Question 12

A car accelerates uniformly from rest to $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

$$4\ \mathrm{m/s}^2$$

Question 13

A projectile is launched from the ground with an initial speed $$v_0 at an $$angle $$	heta$$ above the horizontal. Which equation gives the time of flight until it returns to the ground?

Accepted Answer

$$t = \displaystyle \frac{2 v_0$ \sin 	heta}{g}$$

Question 14

A $$5\ \mathrm{kg}$$ box is pulled across a horizontal surface with a force of $$20\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. If the coefficient of kinetic friction is $$0.2$$, what is the acceleration of the box? (Use $$g = 9.8\ \mathrm{m/s}^2)$$

Accepted Answer

$$2.4\ \mathrm{m/s}^2$$

Question 15

A ball is thrown 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 the ball land? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s}^2)$$

Accepted Answer

$$30\ \mathrm{m}$$

Exam 1 - Study Guide B

Guida di studio - Domande di pratica

Study guide - Flashcard