The velocity of a particle moving along the x-axis varies according to the expression vx = 40 – 5t², where vx is in meters per second and t is in seconds. (A) Find the average acceleration in the time interval t = 0 to t = 2.0 s. (B) Determine the acceleration at t = 2.0 s.

The velocity of a particle moving along the x-axis varies according to the expression vx = 40 – 5t², where vx is in meters per second and t is in seconds. (A) Find the average acceleration in the time interval t = 0 to t = 2.0 s. (B) Determine the acceleration at t = 2.0 s.

Name: The velocity of a particle moving along the x-axis varies according to
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The velocity of a particle moving along the x-axis varies according to the expression vx = 40 – 5t², where vx is in meters per second and t is in seconds.(A) Find the average acceleration in the time interval t = 0 to t = 2.0 s.(B) Determine the acce

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...

See similar textbooks

Similar questions

As an object moves along the x axis, many measurements are made of its position, enough to generate a smooth, accurate graph of x versus t. Which of the following quantities for the object cannot be obtained from this graph alone? (a) the velocity at any instant (b) the acceleration at any instant (c) the displacement during some time interval (d) the average velocity during some time interval (e) the speed at any instant
An 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?
The following conversions occur frequently in physics and arevery useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mphto units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2.Use 1 ft = 30.48 cm to express this acceleration in units of m/s2.(c) The density of water is 1.0 g/cm3. Convert this density to units ofkg/m3.
The relationship between the velocity of a body moving along the x-axis and time is given by v(t)=4t^3-5t, where the units are SI units. The total distance the body travels between the times t=0s and t=3s is
An object is travelling in 1-dimension (i.e. along the x- axis) with a velocity described by the equation: v(t)=v0+1/6st^3 , where s and v0 are constants. The object’s position, and acceleration at time t = 0 are given by d0, and a0 respectively. In terms of the variables given, what is the average acceleration of the object over the interval from 0 to 2 seconds.
An unidentified flying object (UFO) is observed to travel a total distance of 42000 m, starting and ending at rest, over a duration of 2.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 39,207 g s 19,604 g s 3,997 g s 1,998 g s
An object moves along the x axis according to the equation x = 3.90t2 − 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.80 s and t = 3.70 s.m/s(b) Determine the instantaneous speed at t = 1.80 s.m/sDetermine the instantaneous speed at t = 3.70 s.m/s(c) Determine the average acceleration between t = 1.80 s and t = 3.70s.m/s2(d) Determine the instantaneous acceleration at t = 1.80 s.m/s2Determine the instantaneous acceleration at t = 3.70 s.m/s2(e) At what time is the object at rest?
An object's position as a function of time in one dimension is given by the expression; 2.74t2 + 3.01t + 13.9 where are constants have proper SI Units. What is the object's average velocity between the times t = 4.06 s and t = 8.22 s?
What is the shortest time a bus can travel the distance between stations if the maximum permitted speed is 30 km/h and the maximum permitted acceleration and deceleration of the bus is 1.6 m/s²? The distance between the stations is 730 m. (The solution is 93 s)
The speed of an object moving with uniform acceleration in the + x direction is 23 cm / s and the x coordinate is 14 cm. If the x-coordinate of this object is -8 cm after 17 s, what is the acceleration of
During a short interval of time the velocity v in m / s of an automobile is given by = at2 + bt, where t is the time in s. the units of a and b are respectively:
An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) An object's instantaneous velocity at t = 3.00 seconds is 45.5 m/s What is the object's average velocity between t = 0 and t = 3.00 seconds? Answer is 68.0 m/s^2 What is the object's average acceleration between t = 0 and t = 3.00 s Answer : - 50.5 m/s^2