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

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

Name: An object moves along the y axis according to the equation y = 1.25t3
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: 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.

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

An 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.
At an air show, a jet plane has velocity components vx= 695km/h and v y =415km/h at time 4.35 s and v x =938km/h and V y =365km/h at time 7.52s. A)For this time interval, find the xxx component of the plane's average acceleration. b)For this time interval, find the yyy component of the plane's average acceleration. C)For this time interval, find the magnitude of its average acceleration. D)For this time interval, find the direction of its average acceleration.
An object moves horizontally according to the equation x = 3t^3 − 5t + 7, where x is meters and t in seconds. (a) Determine the average velocity in the time interval of 2.00 s to 4.00 s. (b) Find the instantaneous velocity at t = 3.60 s. (c) Find the instantaneous acceleration at t = 4.00 s.
An unidentified flying object (UFO) is observed to travel a total distance of 19000 m, starting and ending at rest, over a duration of 4.23 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.
On a spacecraft two engines fire for a time of 567 s. One gives the craft an acceleration in the x direction of ax = 4.80 m/s2, while the other produces an acceleration in the y direction of ay = 7.52 m/s2. At the end of the firing period, the craft has velocity components of vx = 3751 m/s and vy = 4834 m/s. Calculate the magnitude of the initial velocity.
If the car’s speed decreases at a constant rate from 70 mi/hmi/h to 40 mi/hmi/h in 3.0 ss, what is the magnitude of its acceleration, assuming that it continues to move in a straight line? What distance does the car travel during the braking period?
A car moves on a straight road such that its position from a reference point is given by the following function:{ x(t) = 3 + 5t + 2t2 + 0.4t3, y(t) = 0, z(t) = 0 }where t is in seconds and x in meters. Find the average velocity, in meters per second, in the x-direction between t1 = 0.25 s and t2 = 1.85 s. Find the average acceleration, in meters per second squared, in the x-direction between t1 = 0.25 s and t2 = 1.85 s.
At 3:00 P.M. a truck traveling on a winding highway has a velocity of 82.0 km/h [ E 38.2° N]; at 3:15 P.M., it has a velocity of 82.0 km/h [ S 12.7°E]. Assuming that +x is east and +y is north, determine the x- and y-components of the average acceleration during this time interval.
At 3:00 P.M. a truck travelling on a winding highway has a velocity of 82.0 km/h [38.2° E of N]; at 3:15 P.M., it has a velocity of 82.0 km/h [12.7° S of E]. Assuming that +x is east and +y is north, determine the x- and y-components of the average acceleration during this time interval.
Some experimental researcher tells us that the position of an object as a function of time is given by x(t) = at3 - bt2 + ct - d, where the constants are a = 3.6 m/s3, b = 4.0 m/s2, c = 60 m/s and d = 7.0 m. Find the average acceleration over the first 2.4 seconds. A) 18 m/s/s B) 54 m/s/s C)36 m/s/s D) 76 m/s/s
The acceleration of a particle along a straight line is defined by a=(2t- 9) m/s^2 , where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocity.
An unidentified flying object (UFO) is observed to travel a total distance of 29000 m, starting and ending at rest, over a duration of 4.77 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. 520 g s 260 g s 5,098 g s 2,549 g s