Concept explainers
A particle starts from
a. Does this particle have a turning point? If so, at what time?
b. What is the object’s position at t = 2 s and 4 s?
FIGURE EX2.6
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
Chapter 2 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Additional Science Textbook Solutions
College Physics (10th Edition)
Introduction to Electrodynamics
Essential University Physics: Volume 2 (3rd Edition)
Conceptual Physical Science (6th Edition)
Physics (5th Edition)
Physics: Principles with Applications
- An object that moves in one dimension has the velocity-versus-time graph shown in Figure P2.52. At time t = 0, the object has position x = 0. a. At time t = 5 s. is the acceleration of the object positive, negative, or zero? Explain. b. At time t = 8 s, is the object speeding up, showing down, or moving with constant speed? Explain. c. Write an expression for the position of the object as a function of time. Explain how you use the graph to obtain your answer. d. Use your expression from part (c) to determine the time (if any) at which the object reaches its maximum position. Check your results by examining the graph. Hint: To get started with finding the maximum of a function, take the derivative and set it equal to zero.arrow_forwardShown is a velocity-versus-time graph for a particle moving along the x-axis. At t = 0 s, assume that x = 0 m.a. What are the particle’s position, velocity, and acceleration at t = 1.0 s?b. What are the particle’s position, velocity, and acceleration at t = 3.0 s?arrow_forwardAn object is at x = 0 at t = 0 and moves along the x axis according to the velocity-time graph in Figure P2.62. (a) What is the object’s acceleration between 0 and 4.0 s? (b) What is the object's acceleration between 4.0 s and 9.0 s? (c) What is the object's acceleration between 13.0 s and 18.0 s? (d) At what time(s) is the object moving with the lowest speed? (e) At what time is the object farthest from x = 0? (1) What is the final position x of the object at t = 18.0 s? (g) Through what total distance has the object moved between t = 0 and t = 18.0 s?arrow_forward
- A race car moves such that it's position fits the relationship x=(6.0m/s)t +(0.60 m/s^3)t^3 where x is measured in meters and t in seconds. (a) A plot of the car's position versus time is which of the following? (b) Determine the instantaneous velocity of the car at t=3.0s, using time intervals of 0.40s, 0.20s, and 0.10s.arrow_forwardA particle moves with a velocity v(t) = 8t^3 - 6t^2(a) How far does the particle travel between t = 1 s and t = 2 s?(b) What is its average velocity over this time interval?(c) When is the acceleration most negative and what is that value?(d) What is the average acceleration over the first two seconds?arrow_forwardJulie is walking around a track a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds?arrow_forward
- A boy kicks a ball up a hill, the ball moves in a straight line. With the equation f(t)=c1t^2+c2t, where c1=-2m/s^2 and c2=15m/s a) calculate the balls velocity and acceleration as a function of time. b) How long does the ball travel before it starts to travel down hill? c) How long does it take the ball to return to its starting point, and what is the velocity of the ball at this time?arrow_forwardAn object moves along the x axis with an acceleration of –6 m/s2 . At an earlier time, the position is 5m and the velocity is 10 m/s. At the later time t = 7 s, the position is –15 m. a.What was the first time? b.What is the velocity at t = 7 s?arrow_forwardThe position of a particle for t > 0 is given by r ⃗ (t) = (3.0t2 i ^ − 7.0t3 j ^ − 5.0t−2k ^ ) m. (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What is the particle’s velocity at t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is the average velocity between t = 1.0 s and t = 2.0 s?arrow_forward
- A parachutist bails out and freely falls 50 m. Then the parachute opens, and thereafter she decelerates at 2.0 m/s2. She reaches the ground with a speed of 3.0 m/s. (a) How long is the parachutist in the air? (b) At what height does the fall begin?arrow_forwardA boy kicks a ball up a hill, the ball moves in a straight line. With the equation f(t)=c1t^2+c2t, where c1=-2m/s^2 and c2=15m/s a) calculate the balls velocity and acceleration as a function of time. b) How long does the ball travel (distance) before it starts to travel down hill? c) How long does it take the ball to return to the starting point, and what is the velocity of the ball at this time?arrow_forwardAn object is moving at a constant velocity of 2.0 m/s due east from t = 0 s to t = 2 s. The object starts accelerating from t = 2 s, and its speed increases until t = 6 s at the rate of 0.4 m/s2. (a) What is the displacement of the object from t = 0 s to t = 2 s? (b) What is the displacement of the object from t = 2 s to t = 6 s? (c) What is the velocity of the object at t = 6 s? If the object slows down at the rate of 0.8 m/s2 from t = 6 s until it stops, (d) how long does it take the object to come to stop (velocity is 0 m/s)? (e) what is the total displacement from t = 0 s to the time the object stops?arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University