Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 10P
An object moves along the x axis according to the equation x = 3.00t2 − 2.00t + 3.00, where x is in meters and t is in seconds. Determine (a) the average speed between t = 2.00 s and t = 3.00 s, (b) the instantaneous speed at t = 2.00 s and at t = 3.00 s, (c) the average acceleration between t = 2.00 s and t = 3.00 s, and (d) the instantaneous acceleration at t = 2.00 s and t = 3.00 s. (e) At what time is the object at rest?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An object moves along the x-axis according to the equation x(t) = (3.00 t² -2.00 +3.00) m, where t is in seconds. Determine:
a) the average speed between t = 2.00 s and t = 3.00 s
b) the instantaneous speed at t = 2.00 s and at t = 3.00 s
c) the average acceleration between t = 2.00 s and t = 3.00 s
d) the instantaneous acceleration at t = 2.00 s and t = 3.00 s.
An object moves along the x axis according to the equation x =
3.85t?
2.00t + 3.00, where x is in meters and t is in seconds.
(a) Determine the average speed between t = 2.10 s and t = 4.10 s.
13
The average speed is the distance traveled divided by the time. Is the distance traveled equal to the displacement in this case? m/s
(b) Determine the instantaneous speed at t = 2.10 s.
m/s
Determine the instantaneous speed at t = 4.10 s.
m/s
(c) Determine the average acceleration between t = 2.10 s and t = 4.10 s.
m/s²
(d) Determine the instantaneous acceleration at t = 2.10 s.
m/s²
Determine the instantaneous acceleration at t = 4.10 s.
m/s?
(e) At what time is the object at rest?
S
An object has a position given by r = [(2.5 m/s^3)t^3 +(3.0 m/s)t]i +[3.0 m -(2.0 m/s^2)t^2]j where all quantities are in SI units. Calculate the magnitude of the acceleration of the object at time t = 2.00 s
Chapter 2 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are members of the highway patrol more interested...Ch. 2.4 - Using Active Figure 2.8, match each vxt graph on...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which of the following statements is true? (a) If...Ch. 2.7 - A ball is thrown upward. While the ball is in...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 3OQCh. 2 - Prob. 4OQ
Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Prob. 8OQCh. 2 - As an object moves along the x axis, many...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A hard rubber ball, not affected by air resistance...Ch. 2 - Prob. 14OQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 2CQCh. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 8PCh. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A particle moves along the x axis according to the...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Figure P2.15 shows a graph of vx versus t for the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Prob. 17PCh. 2 - The minimum distance required to stop a car moving...Ch. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - The driver of a car slams on the brakes when he...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A speedboat travels in a straight line and...Ch. 2 - In a classic clip on Americas Funniest Home...Ch. 2 - Prob. 29PCh. 2 - A baseball is hit so that it travels straight...Ch. 2 - Prob. 31PCh. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - A ball starts from rest and accelerates at 0.500...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Prob. 45PCh. 2 - The Acela is an electric train on the...Ch. 2 - Liz rushes down onto a subway platform to find her...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Prob. 49PCh. 2 - A motorist drives along a straight road at a...Ch. 2 - Prob. 51PCh. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - Prob. 53PCh. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A man drops a rock into a well. (a) The man hears...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - Two objects, A and B, are connected by a rigid rod...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in meters and t is in seconds. At t = 3.00 s, find (a) the position of the particle, (b) its velocity, and (c) its acceleration.arrow_forwardthe rocket starts from rest at t=0 and travel straight up. it's height above the ground as a function of time can be approximated by s=bt^2+ct^3, where b and c are constants. at t=10s, the rocket's velocity and acceleration are v= 229m/s and a=28.2 m/s^2 A.) determine the time in seconds at which the rocket reaches supersonic speed (325 m/s) B.) determine the value of constant B C.) determine the value of constant Carrow_forwardDrawing of this problem: An object moves along the x axis according to the equation x = 3.00t2- 2.00t +3.00, where x is in meters and t is in seconds. Determine a) the average speed between t = 2.00s and t = 3.00s b) the instantaneous speed at t = 2.00s and at t = 3.00s c) the average acceleration between t = 2.00s and t = 3.00s, and d) the instantaneous acceleration at t = 2.00s and 3.00s e) At what time is the object at rest?arrow_forward
- A proton (mass m = 1.67 x 10-27 kg) is being accelerated along a straight line at 2.20 x 1015 m/s² in a machine. The proton has an initial speed of 2.00 x 107 m/s and travels 4.1 cm. (a) What is its speed? (Give your answer to at least four significant figures.) m/sarrow_forwardAn object moves along the y axis according to the equation y = 1.25t3 - 5.00t + 2.50, where y is in meters and t is in seconds. Determine (a) the average speed between t = 1.00 s and t = 4.00 s, (b) the instantaneous speed at t = 1.00 s and at t = 4.00 s, (c) the average acceleration between t = 1.00 s and t = 4.00 s, and (d) the instantaneous acceleration at t = 1.00 s and t = 4.00 s. (e) At what time is the object at rest?arrow_forwardThe velocity of an object moving along the x-axis is given in m/s by v(t) = t2 − 6t + 8, where t is in s. If the object starts from x=1m at t=0s, answer the following questions. (a) What is the acceleration of the object when t = 2 s? (b) What is the position when t = 3 s?(c) Is the object speeding up or slowing down at t = 1 s?arrow_forward
- The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (14.9î + 18.4ĵ) m/s. At t = 3.1 s the velocity is 11.4ĵ m/s. (Use the following as necessa (a) What is the particle's acceleration (in m/s²)? a = -4.81 Î+ -2.28 m/s? (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = v(t) m/sarrow_forwardThe position of a particle is given by r(t) = (3.0 t2 ˆi+ 5.0 ˆj − 6.0 t ˆk) m. (a) What is its speed at t = 1 s and t = 3 s? (b) What are the average velocity and acceleration between t = 1 s and t = 2 s?arrow_forwardAn object moves along the x-axis according to the equation ?(t) = (3. 00t3 − 2.00t +1.00) ?. Determine(a) The average speed between t = 2.00 s and t = 3.00 s,(b) The instantaneous speed at t = 2.00 s and at t = 3.00 s,(c) The average acceleration between t = 2.00 s and at t = 3.00 s,(d) The instantaneous acceleration at t = 2.00 s and at t = 3.00 s.arrow_forward
- A helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units. My Answer is that t= 4.163 but what unit is it? I tried s, m/s, min but none of them were correct. PLEASE HELP CONFIRM MY ANSWER and THE UNIT along with 4.163arrow_forwardA car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i until it encounters a smooth inclined hill. It climbs the hill with constant velocity. v1=v1x^+v1y^j = (44.2 m/s)^i + (3.23 m/s)^jWhat is the expression in cartesian unit vector notation, for average acceleration of the car during the given time period using the symbols provided?arrow_forwardAn object moves along the x axis according to the equation x = 2.85t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.60 s and t = 4.50 s.(b) Determine the instantaneous speed at t = 2.60 s.Determine the instantaneous speed at t = 4.50 s.(c) Determine the average acceleration between t = 2.60 s and t = 4.50 s.(d) Determine the instantaneous acceleration at t = 2.60 s.Determine the instantaneous acceleration at t = 4.50 s.(e) At what time is the object at rest?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY