Q: Which equation gives the direction $$\theta of a $$vector with components $$V_x$$ and $$V_y$$?

$$\tan \theta = \frac{V_y}{V_x}$$

Q: A vector $$\vec{A}$$ has components $$A_x = 5$$ and $$A_y = 12. $$What is the angle $$\theta it $$makes with the x-axis?

$$\theta = \tan$$^{-1}$$\left(\frac{12}{5}\right)$$

Question 1

Which of the following quantities is a vector?

Accepted Answer

Displacement

Question 2

A car travels 8 km east, then 6 km east. What is the resultant displacement?

Accepted Answer

$$14\ 	ext{km}$$ east

Question 3

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

Accepted Answer

$$5$$

Question 4

Which method is NOT correct for adding two vectors graphically?

Accepted Answer

Adding the vectors by placing their tails together

Question 5

A vector $$\vec{V} is $$multiplied by a scalar $$-2. $$What is the direction of the resulting vector?

Accepted Answer

Opposite direction to $$\vec{V}$$

Question 6

A projectile is launched at an angle $$\$$theta_0$$ with initial velocity v_0$. What is the vertical component of its velocity?

Accepted Answer

$$v_0$$ \sin \$$theta_0$$

Question 7

At what point in its trajectory does a projectile have the least speed?

Accepted Answer

At the highest point in its flight

Question 8

A small cart is rolling at constant velocity and fires a ball straight up. What happens to the ball after it is fired?

Accepted Answer

It falls right back into the cart

Question 9

Two balls are kicked with the same initial speed. Ball A is kicked at $$20^\circ$$ and Ball B at $$75^\circ$$ above the horizontal. Which ball will have greater horizontal range?

Accepted Answer

Ball A

Question 10

Which equation gives the direction $$	heta of a $$vector with components $$V_x$$ and $$V_y$$?

Accepted Answer

$$	an 	heta = \frac{V_y}{V_x}$$

Question 11

A vector $$\vec{A}$$ has components $$A_x = 5$$ and $$A_y = 12. $$What is the angle $$	heta it $$makes with the x-axis?

Accepted Answer

$$	heta = 	an$$^{-1}$$\left(\frac{12}{5}ight)$$

Question 12

If a projectile is launched horizontally from a height, which equation describes its vertical position as a function of time?

Accepted Answer

$$y = y_0$ + v_{y0} t - \frac{1}{2} g t^2$

Question 13

A football is kicked at $$37^\circ$$ with a velocity of $$20\ 	ext{m/s}. $$What is the maximum height reached by the ball?

Accepted Answer

$$h = \frac{v_0$^2 \sin^2$ \$$theta_0$$}{2g}$$

Question 14

Three vectors each have magnitude 20 units and are separated by $$120^\circ. $$What is the magnitude of their sum?

Accepted Answer

$$0$$ units

Question 15

Which statement about the magnitude of a vector is definitely true?

Accepted Answer

Magnitude of a vector can be zero only if all components are zero.

Question 16

A vector $$\vec{V} is $$resolved into components $$V_x$$ and $$V_y. $$Which equation gives its magnitude?

Accepted Answer

$$V = \sqrt{V_x^2$ + V_y^2$}$$

Question 17

A projectile is launched from the ground at an angle $$\$$theta_0$$ with initial velocity v_0$. What is the equation for its horizontal range?

Accepted Answer

$$R = \frac{v_0$^2 \sin 2\$$theta_0$$}{g}$$

Question 18

If a vector $$\vec{A} is $$subtracted from vector $$\vec{B}$$, which graphical method is used?

Accepted Answer

Add the negative of $$\vec{A} to$$ $$\vec{B}$$

Question 19

A ball is thrown horizontally from a height. Ignoring air resistance, what happens to its horizontal velocity?

Accepted Answer

It remains constant

Kinematics in Two Dimensions and Vectors: Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards