Q: A 50 kg snowboarder is traveling at 20 m/s and comes to a stop in 25 m due to friction. What is the magnitude of the average acceleration?

$$a = \frac{(20\ \mathrm{m/s})^2$}{2 \times 25\ \mathrm{m}}$$

Q: A projectile is launched at an angle $$\theta$$ with initial speed $$v_0. $$Which of the following correctly gives the time of flight if it lands at the same height it was launched?

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

Question 1

A car travels 400 m east and then 300 m north. What is the magnitude of its total displacement?

Accepted Answer

$$500\ \mathrm{m}$$

Question 2

Which of the following best describes the difference between average speed and average velocity?

Accepted Answer

Average speed is the total distance divided by time, while average velocity is the total displacement divided by time.

Question 3

A ball is thrown horizontally from a cliff with an initial speed $$v_0. $$Neglecting air resistance, which statement is true about the time it takes to hit the ground?

Accepted Answer

It depends only on the height of the cliff.

Question 4

A car accelerates from rest at a constant rate $$a$$ for a time $$t. $$What is the distance it travels?

Accepted Answer

$$d = \frac{1}{2}at^2$

Question 5

A projectile is launched with initial velocity $$v_0 at an $$angle $$	heta$$ above the horizontal. What is the horizontal component of its initial velocity?

Accepted Answer

$$v_0$$ \cos 	heta$$

Question 6

A 50 kg snowboarder is traveling at 20 m/s and comes to a stop in 25 m due to friction. What is the magnitude of the average acceleration?

Accepted Answer

$$a = \frac{(20\ \mathrm{m/s})^2$}{2 	imes 25\ \mathrm{m}}$$

Question 7

Which of the following is a correct statement of Newton's Second Law?

Accepted Answer

$$\sum \vec{F} = m\vec{a}$$

Question 8

A ball is moving in a circle at constant speed. What is the direction of its acceleration?

Accepted Answer

Toward the center of the circle

Question 9

A car is moving at 30 m/s and passes a police car moving at 20 m/s. The police car accelerates at $$3.0\ \mathrm{m/s}^2 to $$catch up. How long does it take for the police car to catch the speeder?

Accepted Answer

$$\Delta t = 6.7\ \mathrm{s}$$

Question 10

Which of the following is the correct formula for the radial (centripetal) acceleration of an object in uniform circular motion?

Accepted Answer

$$a_r = \frac{v^2$}{r}$$

Question 11

A block slides down a frictionless incline at angle $$	heta. $$What is the magnitude of its acceleration?

Accepted Answer

$$a = g \sin 	heta$$

Question 12

A vector $$\vec{A}$$ has components $$A_x = 3$$ and $$A_y = 4. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$5$$

Question 13

A ball is thrown straight up with initial velocity $$v_0. $$What is its velocity when it returns to the original launch height (neglecting air resistance)?

Accepted Answer

$$-v_0$

Question 14

Which of the following is the correct relationship between angular velocity $$\omega$$ and linear speed $$v$$ for an object moving in a circle of radius $$r$$?

Accepted Answer

$$v = r\omega$$

Question 15

A force is applied to an object causing it to accelerate. Which of the following statements is true?

Accepted Answer

The acceleration is in the same direction as the net force.

Question 16

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$Which of the following correctly gives the time of flight if it lands at the same height it was launched?

Accepted Answer

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

Question 17

Which of the following is a correct statement about the independence of horizontal and vertical motion for projectiles?

Accepted Answer

The horizontal and vertical motions are independent except for sharing the same time of flight.

Question 18

A force of 10 N is applied to a 2 kg object. What is its acceleration?

Accepted Answer

$$5\ \mathrm{m/s}^2$$

Question 19

A ball is thrown with velocity components $$v_x = 6\ \mathrm{m/s}$$ and $$v_y = 8\ \mathrm{m/s}. $$What is the magnitude of its velocity?

Accepted Answer

$$10\ \mathrm{m/s}$$

Physics 2305 Study Guide: Motion, Kinematics, Vectors, and Dynamics

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