Question 1

Which of the following statements best distinguishes a scalar from a vector quantity?

Accepted Answer

A scalar has only magnitude, while a vector has both magnitude and direction.

Question 2

A car moves from $$x_i = -3\ \mathrm{m} to$$ $$x_f = 7\ \mathrm{m} in$$ $$2\ \mathrm{s}. $$What is the car's displacement?

Accepted Answer

$$10\ \mathrm{m}$$

Question 3

A student walks to school, and her position is recorded every minute. If her position-versus-time graph is a straight line with a positive slope, what does this indicate about her motion?

Accepted Answer

She is moving at a constant speed in the positive direction.

Question 4

A cheetah accelerates from rest to $$28\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$7\ \mathrm{m/s^2$}$$

Question 5

A car travels at a constant velocity of $$15\ \mathrm{m/s}$$ for $$10\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$150\ \mathrm{m}$$

Question 6

A velocity-versus-time graph for a car is a horizontal line at $$v_x = 5\ \mathrm{m/s}. $$What does the area under the graph between $$t = 0$$ and $$t = 4\ \mathrm{s}$$ represent?

Accepted Answer

The car's displacement, $$20\ \mathrm{m}$$

Question 7

A ball is thrown straight up. At the highest point in its path, which of the following is true?

Accepted Answer

The velocity is zero and the acceleration is negative.

Question 8

A train travels $$12\ \mathrm{km} in$$ $$10\ \mathrm{min}. $$How long will it take to travel $$60\ \mathrm{km} at $$the same speed?

Accepted Answer

$$50\ \mathrm{min}$$

Question 9

A car starts from rest and accelerates uniformly at $$3\ \mathrm{m/s^2$}$$ for $$6\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$18\ \mathrm{m/s}$$

Question 10

A car moving at $$20\ \mathrm{m/s}$$ comes to a stop in $$4\ \mathrm{s}$$ with constant acceleration. What is the magnitude of its acceleration?

Accepted Answer

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

Question 11

A position-versus-time graph is a parabola opening upwards. What does this indicate about the object's motion?

Accepted Answer

The object is moving with constant acceleration.

Question 12

A runner increases her speed from $$2\ \mathrm{m/s} to$$ $$6\ \mathrm{m/s} in$$ $$2\ \mathrm{s}. $$What is her average acceleration?

Accepted Answer

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

Question 13

A car is moving to the left and slowing down. What are the signs of its velocity and acceleration?

Accepted Answer

Velocity is negative, acceleration is positive.

Question 14

A ball is dropped from rest and falls freely under gravity. Which equation gives the distance fallen after time $$t$$?

Accepted Answer

$$x = \frac{1}{2}gt^2$

Question 15

A cyclist travels at $$8\ \mathrm{m/s}$$ for $$5\ \mathrm{s}$$, then at $$12\ \mathrm{m/s}$$ for $$5\ \mathrm{s}. $$What is the average velocity for the entire $$10\ \mathrm{s}$$?

Accepted Answer

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

Question 16

A car accelerates from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s}$$ over a distance of $$80\ \mathrm{m}. $$What is its acceleration?

Accepted Answer

$$a = \frac{v_f^2$ - v_i^2$}{2\Delta x} = \frac{(30)^2$ - (10)^2$}{2 	imes 80} = 5\ \mathrm{m/s^2$}$$

Question 17

A drag racer starts from rest and travels $$6.0\ \mathrm{m} in$$ $$1.0\ \mathrm{s}. If $$the acceleration remains constant, how far will the car travel in $$5.0\ \mathrm{s}$$?

Accepted Answer

$$150\ \mathrm{m}$$

Question 18

Which of the following best describes the relationship between two variables $$y$$ and $$x if$$ $$y = Cx^2$?

Accepted Answer

y is proportional to the square of x (quadratic relationship).

Motion in One Dimension: Physics with Calculus Study Notes

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