Question 1

Which of the following statements about vector addition is correct?

Accepted Answer

Vectors commute under addition, so $$\vec{A} + \vec{B} = \vec{B} + \vec{A}.$$

Question 2

Given a vector $$\vec{v}$$ with components $$v_x$$ and $$v_y$$, what is the correct formula for its magnitude?

Accepted Answer

$$|\vec{v}| = \sqrt{v_x^2$ + v_y^2$}$$

Question 3

A projectile is launched horizontally from a height $$h$$ above the ground. Which equation gives the time $$t it $$takes to hit the ground (neglecting air resistance)?

Accepted Answer

$$t = \sqrt{\frac{2h}{g}}$$

Question 4

If a vector $$\vec{v}$$ makes an angle $$	heta$$ with the x-axis, what is the x-component of $$\vec{v}$$?

Accepted Answer

$$v_x = v \cos 	heta$$

Question 5

Which of the following best describes the slope of a position vs. time graph?

Accepted Answer

The slope represents velocity.

Question 6

Which kinematic equation relates displacement $$x$$, initial velocity $$v_0$$, acceleration $$a$$, and time $$t$$?

Accepted Answer

$$x = v_0$ t + \frac{1}{2} a t^2$

Question 7

In projectile motion, what is the vertical acceleration $$a_y at $$all times (neglecting air resistance)?

Accepted Answer

$$a_y = -g$$

Question 8

A car moves in a circle of radius $$r at $$constant speed $$v. $$What is the formula for its centripetal acceleration $$a_c$$?

Accepted Answer

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

Question 9

If the speed $$v of an $$object in uniform circular motion is doubled, how does the centripetal acceleration $$a_c$$ change?

Accepted Answer

$$a_c$$ increases by a factor of 4

Question 10

Which of the following is the correct formula for the period $$T of an $$object moving in a circle of radius $$r$$ with speed $$v$$?

Accepted Answer

$$T = \frac{2\pi r}{v}$$

Question 11

A block slides down a frictionless incline of height $$h. $$What is its speed $$v at $$the bottom?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 12

Which of the following steps is NOT part of drawing a free body diagram?

Accepted Answer

Calculate the object's velocity.

Question 13

If the acceleration $$a of an $$object in circular motion is decreased by a factor of 9, how does the speed $$v$$ change?

Accepted Answer

$$v$$ decreases by a factor of 3

Question 14

Which of the following is true about the velocity vector in projectile motion (neglecting air resistance)?

Accepted Answer

The horizontal component remains constant.

Question 15

A ball is thrown horizontally from a cliff. Which statement is correct about its motion?

Accepted Answer

The ball's vertical velocity increases linearly with time.

Question 16

What is the correct formula for the y-component of a vector $$\vec{v} at an $$angle $$	heta$$ from the x-axis?

Accepted Answer

$$v_y = v \sin 	heta$$

Question 17

Which of the following is a correct interpretation of the tangent to a position vs. time graph?

Accepted Answer

It gives the instantaneous velocity.

Question 18

If a block slides down an incline with friction, which force acts opposite to the direction of motion?

Accepted Answer

Frictional force

Question 19

Which of the following is true about the centripetal force acting on an object in uniform circular motion?

Accepted Answer

It acts radially inward toward the center.

Exam 1 Review: Vectors, Kinematics, Projectile Motion, Rotational and Circular Motion, Free Body Diagrams

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