Q: A vector $$\vec{A}$$ makes an angle $$\theta$$ with the x-axis. What are the x and y components of $$\vec{A}$$?

$$A_x = A \cos \theta$$, $$A_y = A \sin \theta$$

Question 1

A vector $$\vec{A}$$ makes an angle $$	heta$$ with the x-axis. What are the x and y components of $$\vec{A}$$?

Accepted Answer

$$A_x = A \cos 	heta$$, $$A_y = A \sin 	heta$$

Question 2

A car moves east at $$20\,	ext{m/s}$$ and a truck moves west at $$15\,	ext{m/s}. $$What is the velocity of the car relative to the truck?

Accepted Answer

$$35\,	ext{m/s}$$ west

Question 3

Which of the following is a scalar quantity?

Accepted Answer

Speed

Question 4

A ball is thrown horizontally from a height of $$10\,	ext{m}$$ with an initial speed of $$5\,	ext{m/s}. $$How long does it take to hit the ground? (Neglect air resistance, $$g = 9.8\,	ext{m/s}^2)$$

Accepted Answer

$$1.43\,	ext{s}$$

Question 5

Which kinematic equation would you use to find the displacement of an object under constant acceleration, given initial velocity $$v_i$$, acceleration $$a$$, and time $$t$$?

Accepted Answer

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

Question 6

A sprinter covers $$10\,	ext{m} in$$ $$2\,	ext{s}$$ from rest with constant acceleration. What is the sprinter's acceleration?

Accepted Answer

$$5\,	ext{m/s}^2$$

Question 7

If an object is uniformly accelerated from rest, which graph best represents the distance traveled versus time?

Accepted Answer

A curve that gets steeper with time

Question 8

A cart is initially moving at $$0.5\,	ext{m/s}$$ and comes to rest after traveling $$1\,	ext{m}. If $$the cart is instead initially moving at $$1\,	ext{m/s}$$, how far does it travel before coming to rest (assuming same deceleration)?

Accepted Answer

$$2\,	ext{m}$$

Question 9

A student predicts the time for a plastic ball to fall from $$3\,	ext{m}$$ using $$g = 9.80\,	ext{m/s}^2$$, but finds the measured time is 35% greater. What is the most likely cause?

Accepted Answer

Air resistance reduces the downward acceleration

Question 10

Which equation gives the range $$R of a $$projectile launched at speed $$v_0$$ and angle $$\$$theta_0$$ from the horizontal?

Accepted Answer

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

Question 11

If the velocity vs. time graph of an object is a straight line with a positive slope, what does this indicate about the object's motion?

Accepted Answer

The object is accelerating at a constant rate

Question 12

Which of the following statements about vectors is correct?

Accepted Answer

Vectors have magnitude and direction

Question 13

An object is thrown upward with an 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

A position vs. time graph with a positive slope represents:

Accepted Answer

Positive velocity

Question 15

Which equation would you use to find the final velocity $$v_f of an $$object given initial velocity $$v_i$$, acceleration $$a$$, and displacement $$\Delta x$$?

Accepted Answer

$$v_f^2$ = v_i^2$ + 2 a \Delta x$$

Question 16

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

Accepted Answer

$$v_0$$ \sin 	heta$$

Question 17

If an object moves with constant velocity, what is its acceleration?

Accepted Answer

Zero

Question 18

A ball is thrown horizontally from a $$20\,	ext{m}$$ high cliff. How long does it take to hit the ground? ($$g = 9.8\,	ext{m/s}^2)$$

Accepted Answer

$$2.02\,	ext{s}$$

Question 19

Which of the following is NOT a fundamental quantity in mechanics?

Accepted Answer

Temperature

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