Question 1

A driver is traveling at 15 m/s in a 35 mi/hr speed zone. Is the driver exceeding the speed limit? (1 mi = 1609 m)

Accepted Answer

Yes, because 15 m/s is greater than 35 mi/hr.

Question 2

Which of the following is an example of an order-of-magnitude estimate?

Accepted Answer

Estimating the total number of heartbeats in a lifetime as $$3 	imes 10^9$ beats.

Question 3

What are the dimensions of speed?

Accepted Answer

$$[L/T]$$

Question 4

Which equation is dimensionally incorrect for velocity?

Accepted Answer

$$v = v_0$ + \frac{1}{2}at^2$

Question 5

Which of the following quantities is a vector?

Accepted Answer

Displacement

Question 6

A vector has a magnitude of 5 m/s and points east. What is the speed of the particle?

Accepted Answer

5 m/s

Question 7

If you multiply a vector $$\vec{A} by$$ $$-1$$, what happens?

Accepted Answer

Its direction reverses, but magnitude stays the same.

Question 8

Which rule is used to add two vectors graphically?

Accepted Answer

Tip-to-tail rule

Question 9

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

Accepted Answer

$$5 m$$

Question 10

Which of the following is NOT a scalar quantity?

Accepted Answer

Force

Question 11

A car is at $$x = -5$$ miles and another at $$x = +4$$ miles. What is the displacement from the first car to the second?

Accepted Answer

$$+9$$ miles

Question 12

If $$\vec{A}$$ has $$A_x = 2 m $$and $$A_y = 4 m$$, what is the direction of $$\vec{A}$$ with respect to the x-axis?

Accepted Answer

$$	an$$^{-1}$$(4/2)$$

Question 13

Which of the following statements about vector magnitude is correct?

Accepted Answer

Magnitude is always positive or zero.

Question 14

Which method can be used to find the resultant of two vectors $$\vec{D}$$ and $$\vec{E}$$?

Accepted Answer

Parallelogram rule

Question 15

If $$\vec{A} = 3\hat{i} + 4\hat{j}$$, what are its x- and y-components?

Accepted Answer

x = 3, y = 4

Question 16

Which of the following is true about dimensional analysis?

Accepted Answer

It checks if the units in an equation are consistent.

Question 17

A vector $$\vec{B} is $$multiplied by a scalar $$c = 0. $$What is the result?

Accepted Answer

A vector with zero length (the zero vector)

Question 18

Which of the following is a correct statement about vector addition?

Accepted Answer

The sum of two vectors is a vector with both magnitude and direction.

Question 19

If $$\vec{A} = 3\hat{i} + 2\hat{j}$$ and $$\vec{B} = 1\hat{i} + 8\hat{j}$$, what is $$\vec{A} + \vec{B}$$?

Accepted Answer

$$4\hat{i} + 10\hat{j}$$

Question 20

Which of the following is a real-world example of a vector quantity?

Accepted Answer

The velocity of a car driving north at 60 km/h

Fundamental Concepts in Physics: Units, Estimation, Dimensions, and Vectors

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