Q: A runner jogs 100 m east, then 50 m west. What is the runner's displacement?

$$50\ \mathrm{m}$$\ \text{east}

Q: Which equation defines instantaneous velocity?

$$v = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t}$$

Question 1

A car travels 4.0 mi at 30.0 mi/h and then another 4.0 mi at 60.0 mi/h. What is the average speed for the entire 8.0 mi trip?

Accepted Answer

$$40.0\ \mathrm{mi/h}$$

Question 2

A runner jogs 100 m east, then 50 m west. What is the runner's displacement?

Accepted Answer

$$50\ \mathrm{m}$$\ 	ext{east}

Question 3

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is always positive; displacement can be positive or negative.

Question 4

A particle moves in the positive $$x$$ direction for 2 s, then reverses direction and returns to its starting point in 2 s. What is its average velocity over the 4 s interval?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 5

Which equation defines instantaneous velocity?

Accepted Answer

$$v = \lim_{\Delta t 	o 0} \frac{\Delta x}{\Delta t}$$

Question 6

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

Accepted Answer

$$10.0\ \mathrm{m/s}$$

Question 7

Which of the following is the correct equation for position as a function of time for constant acceleration?

Accepted Answer

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

Question 8

A ball is dropped from rest from a height of 20 m. Neglecting air resistance, how long does it take to reach the ground? (Take $$g = 9.81\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Question 9

A car traveling at $$20\ \mathrm{m/s}$$ comes to a stop with constant acceleration in $$4.0\ \mathrm{s}. $$What is the car's acceleration?

Accepted Answer

$$-5.0\ \mathrm{m/s^2$}$$

Question 10

Which of the following statements about freely falling objects is correct?

Accepted Answer

The acceleration due to gravity is constant and directed downward.

Question 11

A car decelerates uniformly from $$25\ \mathrm{m/s} to $$rest in $$5.0\ \mathrm{s}. $$What distance does it cover during this time?

Accepted Answer

$$62.5\ \mathrm{m}$$

Question 12

Which equation relates velocity, position, and acceleration for constant acceleration?

Accepted Answer

$$v^2$$ = $$v_0^2 + 2a(x$$ - $$x_0$$)$$

Question 13

A person walks 3 km east, then 4 km west. What is the total distance traveled and the displacement?

Accepted Answer

Distance: $$7\ \mathrm{km}$$, Displacement: $$1\ \mathrm{km}$$ west

Question 14

If a car's velocity-time graph is a straight line with a positive slope, what does this indicate about the car's motion?

Accepted Answer

The car is accelerating at a constant rate.

Question 15

A stone is thrown vertically upward with an initial velocity of $$19.6\ \mathrm{m/s}. $$How long does it take to reach its maximum height? (Take $$g = 9.81\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.0\ \mathrm{s}$$

Question 16

Which of the following is true about deceleration?

Accepted Answer

Deceleration occurs when velocity and acceleration have opposite signs.

Question 17

A car starts from rest and accelerates uniformly at $$3.0\ \mathrm{m/s^2$}$$ for $$8.0\ \mathrm{s}. $$What is the total distance traveled?

Accepted Answer

$$96\ \mathrm{m}$$

Question 18

Which of the following best describes the average acceleration?

Accepted Answer

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

Question 19

A ball is thrown downward with an initial velocity of $$5.0\ \mathrm{m/s}$$ from a height of $$20\ \mathrm{m}. $$How long does it take to hit the ground? (Take $$g = 9.81\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.53\ \mathrm{s}$$

One-Dimensional Kinematics: Physics with Calculus Study Notes

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