Question 1

A car starts from rest and accelerates uniformly at $$4.00\ \mathrm{m/s^2$}$$ for $$5.00\ \mathrm{s}. $$What is the distance traveled by the car in this time?

Accepted Answer

$$50.0\ \mathrm{m}$$

Question 2

A plane accelerates from $$51.0\ \mathrm{m/s} to$$ $$94.0\ \mathrm{m/s}$$ over a distance of $$1.2\ \mathrm{km}. $$What is the plane's acceleration? (Round to three decimal places.)

Accepted Answer

$$2.598\ \mathrm{m/s^2$}$$

Question 3

Which kinematic equation would you use to solve for displacement $$x$$ when you know initial velocity $$v_0$$, acceleration $$a$$, and time $$t$$?

Accepted Answer

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

Question 4

A driver is traveling at $$8.00\ \mathrm{m/s}$$ and accelerates at $$3.00\ \mathrm{m/s^2$}$$ for $$4.00\ \mathrm{s}. $$What is the final velocity?

Accepted Answer

$$12.0\ \mathrm{m/s}$$

Question 5

A jet has a velocity of $$100\ \mathrm{m/s}$$ and begins to decelerate at $$-5.00\ \mathrm{m/s^2$}. $$What is its velocity after $$6.0\ \mathrm{s}$$?

Accepted Answer

$$70.0\ \mathrm{m/s}$$

Question 6

If an object moves with an average velocity of $$5.0\ \mathrm{m/s}$$ for $$6.0\ \mathrm{s}$$, what is its displacement $$\Delta x$$?

Accepted Answer

$$30.0\ \mathrm{m}$$

Question 7

A car is moving at $$12.5\ \mathrm{m/s}$$ and accelerates at $$1.80\ \mathrm{m/s^2$}$$ for $$4.10\ \mathrm{s}. $$What is the displacement during this time? (Round to three decimal places.)

Accepted Answer

$$66.379\ \mathrm{m}$$

Question 8

Which of the following equations is derived from combining $$v = v_0$ + a t$$ and $$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$ to eliminate time t$?

Accepted Answer

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

Question 9

A ball is thrown straight up with an initial velocity of $$15.0\ \mathrm{m/s}. $$Neglecting air resistance, what is the maximum height reached by the ball? (Use $$g = 9.8\ \mathrm{m/s^2$}.)$$

Accepted Answer

$$11.5\ \mathrm{m}$$

Question 10

A car accelerates from $$0 to$$ $$30.0\ \mathrm{m/s} in$$ $$8.0\ \mathrm{s}. $$What is the acceleration?

Accepted Answer

$$3.75\ \mathrm{m/s^2$}$$

Question 11

A car at rest at a stoplight accelerates at $$4.00\ \mathrm{m/s^2$}$$ for $$5.00\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$20.0\ \mathrm{m/s}$$

Question 12

Which of the following best describes the average velocity for an object with constant acceleration?

Accepted Answer

$$\bar{v} = \frac{v_0$ + v}{2}$$

Question 13

A plane starts at $$51.0\ \mathrm{m/s}$$ and accelerates to $$94.0\ \mathrm{m/s}$$ over $$1.2\ \mathrm{km}. $$Which equation would you use to solve for the acceleration?

Accepted Answer

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

Question 14

A runner moves with a constant velocity of $$6.0\ \mathrm{m/s}$$ for $$10.0\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$60.0\ \mathrm{m}$$

Question 15

A car slows down from $$19.0\ \mathrm{m/s} to $$rest with a constant acceleration of $$-3.50\ \mathrm{m/s^2$}. $$How far does it travel before stopping?

Accepted Answer

$$51.6\ \mathrm{m}$$

Question 16

Which of the following is NOT a valid kinematic equation for constant acceleration?

Accepted Answer

$$x = x_0$ + v t$$

Question 17

A ball is dropped from rest from a height of $$20.0\ \mathrm{m}. $$How long does it take to reach the ground? (Use $$g = 9.8\ \mathrm{m/s^2$}.)$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Question 18

A car travels at $$30.0\ \mathrm{m/s}$$ and comes to a stop in $$8.0\ \mathrm{s}. $$What is the displacement during this time?

Accepted Answer

$$120\ \mathrm{m}$$

Kinematics in One Dimension: Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards