Concept explainers
(a)
To Calculate: The velocity at
(a)
Answer to Problem 50P
Explanation of Solution
Given data
Formula used
Calculation
Substitute the values for
Comparing values of
Comparing values of
Substituting values of a and b,
when
Conclusion
(b)
To Calculate: The position vector at
(b)
Answer to Problem 50P
Magnitude of the displacement at
Direction of the displacement at
Explanation of Solution
Given data
Formula used
Calculation
Substituting values for
Comparing values of
Comparing values of
Substituting values of c and d,
When
Conclusion
The magnitude of the displacement at
Direction of the displacement at
Want to see more full solutions like this?
Chapter 3 Solutions
Physics for Scientists and Engineers
- A particle moving in the x-y plane has a velocity at time t = 5.25 s given by (3.9i+ 6.0j) m/s, and at t = 5.34 s its velocity has become (4.05i + 6.13j) m/s. Calculate the magnitude a of its average acceleration during the 0.09-s interval and the angle it makes with the x- axis. Answers: i m/s² a = O 0= iarrow_forwardv → = ( 6 t − 4 t 2 ) i ^ − 8 j ^. Here v → is in meters per second and t in seconds. (a) What are the position, speed, and acceleration of the particle when t = 4.3 s? (b) When (if ever) is the acceleration zero? Prove your answer. (c) When (if ever) is the velocity zero? Prove your answer.arrow_forwardA particle leaves the origin going 1 m/s in the +x direction. At all times it experiences a constant acceleration of 5.34 m/s2 in the -x direction. What will be the particle's speed when it returns to the origin?arrow_forward
- An object has a position given by r = [2.0 m + (5.00 m/s)r]i + [3.0 m - (2.00 m/s2)/²\j. where quantities are in SI units. What is the speed of the object at time 1 = 2.00 s? A) 13.0 B) 6.40 C) 9.43 D) 7.00 E) 7.65 m/s m/s m/s m/s m/sarrow_forwardThe velocity of a particle is v = {3i+(6-2t)j} m/s. If r=0 when t=0, determine the displacement of the particle during the time interval t= 1 s to t=3s O 4i - 6j m 6i + 4j m 4i + 6j m 6i - 4j marrow_forwardStarting from the origin of some coordinate system, a chicken moves 2 m to the +x-direction for 2 s, then 3 m to the +y-direction for 3 s. What is the chicken's average velocity for the whole motion? (2 m/s) i + (3 m/s) ĵ 1m/s O (금m/s)i+(m/s) 3 O (1m/s) i + (1 m/s) 3arrow_forward
- A particle leaves the origin with initial velocity v0= 12i + 14j m/s, undergoing constant acceleration a = -0.80i + 0.25j m/s2. If the particle crosses the y-axis at t = 30s and its y-coordinate at the time is 532.5m. How fast is it moving and in what direction is it moving?arrow_forwardA particle travels along the x-axis according to the following equation: x(t) = 3t^(2) - 15t + 12 a) what is the particle's displacement from t=0 to t=4? b) what is the average velocity of the particle over the first 4 seconds? c) what distance does that particle travel from t=0 to t=4?arrow_forwardAn 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 sarrow_forward
- An object has an acceleration as a function of time given by (in m/s2): a = (7t2 + 2t) i + (5t3 + 8) j Given: at t=0.0 s, the object is at the origin with a velocity of 0.0 m/s. What is the magnitude of its position (in m) when t= 6 s ?arrow_forward(a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to v2 = 5i - 7j+ 2k m/s in 2 s. What is its average acceleration? (b) A particle has an acceleration of a = -7i + 3j m/s2 for a period of 4 s. After this time the velocity is V2 = 6i - 2k m/s. What was the initial velocity?arrow_forwardThe position of a particle is T(t) = (2.0r21-3.0t /)m.What is the magnitude of the acceleration (in m/s) after 1.0 s2 ?arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON