Question 1

Which of the following best describes displacement in one-dimensional motion?

Accepted Answer

The change in position, given by $$\Delta x = x_f - x_i.$$

Question 2

On a position vs. time graph, what does the slope of the line connecting two points represent?

Accepted Answer

Average velocity.

Question 3

A car starts from rest and accelerates at a constant rate of $$2.0\ \mathrm{m/s^2$}$$ for $$5.0\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

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

Question 4

Which kinematic equation would you use to solve for displacement when you know initial velocity, acceleration, and time, but not final velocity?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 5

A small rock is thrown straight up. Neglecting air resistance, what is its acceleration at the instant it reaches its maximum height?

Accepted Answer

$$-9.8\ \mathrm{m/s^2$}$$

Question 6

A truck covers $$40.0\ \mathrm{m} in$$ $$8.50\ \mathrm{s}$$ while slowing down uniformly to a final velocity of $$2.80\ \mathrm{m/s}. $$What was its initial speed?

Accepted Answer

$$6.6\ \mathrm{m/s}$$

Question 7

Which of the following is the correct expression for average acceleration?

Accepted Answer

$$a_{av} = \frac{\Delta v}{\Delta t}$$

Question 8

Noodle the cat fell off his cat tower and landed with a speed of $$24\ \mathrm{m/s}. $$Assuming freefall and $$g = 9.8\ \mathrm{m/s^2$}$$, how long was he falling?

Accepted Answer

$$2.4\ \mathrm{s}$$

Question 9

Which step is NOT part of Holt's Kinematic Algorithm (HoKA) for solving 1-D motion problems?

Accepted Answer

Use the equation that contains the unwanted quantity.

Question 10

A car moves with a constant velocity of $$20\ \mathrm{km/h}$$ and passes a stationary car at $$x = 445\ \mathrm{m}. If $$the stationary car starts accelerating at $$2.0\ \mathrm{m/s^2$}$$ from rest, how far will it travel before catching up to the moving car?

Accepted Answer

$$761\ \mathrm{m}$$

Question 11

Which kinematic equation is most useful when you do NOT know the time elapsed?

Accepted Answer

$$v^2$$ = $$v_0^2 + 2a$$\Delta x$$

Question 12

If the acceleration of an object is zero, which of the following statements is true?

Accepted Answer

The object's velocity is constant.

Question 13

A ball is dropped from a height and falls freely under gravity. Which equation would you use to find the time it takes to hit the ground, given the height $$h$$ and $$g$$?

Accepted Answer

$$h = v_0$ t + \frac{1}{2} g t^2$

Question 14

On a velocity vs. time graph, what does the slope at a single point represent?

Accepted Answer

Instantaneous acceleration.

Question 15

A runner accelerates from $$2.0\ \mathrm{m/s} to$$ $$6.0\ \mathrm{m/s} in$$ $$4.0\ \mathrm{s}. $$What is the runner's average acceleration?

Accepted Answer

$$1.0\ \mathrm{m/s^2$}$$

Question 16

Which variable is missing from the kinematic equation $$v^2$$ = $$v_0^2 + 2a$$\Delta x$$?

Accepted Answer

$$t$$

Question 17

A cyclist travels at $$5.0\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then accelerates at $$1.0\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$87.5\ \mathrm{m}$$

Question 18

If an object moves with a constant velocity, which of the following is true about its acceleration?

Accepted Answer

Acceleration is zero.

Question 19

A car starts at $$x_0 = 0$ with v_0$ = 5\ \mathrm{m/s}$$ and accelerates at $$a = 2\ \mathrm{m/s^2$}$$ for $$3\ \mathrm{s}. $$What is its final position?

Accepted Answer

$$24\ \mathrm{m}$$

Chapter 2: 1-D Motion & Kinematics – Study Notes

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