An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.30 s and t = 3.90 s. 17.86 m/s (b) Determine the instantaneous speed at t = 2.30 s. m/s Determine the instantaneous speed at t = 3.90 s. m/s (c) Determine the average acceleration between t = 2.30 s and t = 3.90 s. m/s²

An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.30 s and t = 3.90 s. 17.86 m/s (b) Determine the instantaneous speed at t = 2.30 s. m/s Determine the instantaneous speed at t = 3.90 s. m/s (c) Determine the average acceleration between t = 2.30 s and t = 3.90 s. m/s²

Name: An object moves along the x axis according to the equation x = 3.20t²
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: An object moves along the x axis according to the equation x = 3.20t² - 2.00t + 3.00, where x is in meters and t is in seconds.(a) Determine the average speed between t = 2.30 s and t = 3.90 s.17.86m/s(b) Determine the instantaneous speed at t = 2.3

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's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2. (Assume constants have proper SI Units) What are the object's instantaneous velocity at t = 3.00 seconds ? Answer = 48.5 m/s
A ball is thrown into the air by a baby alien on a planet in thesystem of Alpha Centauri with a velocity of 49 ft/s. Its heightin feet after t seconds is given by y = 49t −25t2.a.) Find the average velocity for the time period beginningwhen t0 = 1 second and lasting for the given time.t = .01 sec:t = .005 sec:t = .002 sec :t = .001 sec: b.) Estimate the instanteneous velocity when t = 1.
A falling stone takes Δt = 0.26 s to travel past a window 2.2 m tall From what height above the top of the window did the stone fall? Express your answer to two significant figures and include the appropriate units.
An object with mass m moves along the x axis. It is observed to have a velocity in the positive x direction with a magnitude of c_1t^2 where c_1 is a positive known constant and t is the time in seconds. At t=1s it's observed to be at the point x=D. When does the object reach x=2D?
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?
If the acceleration (a) of an automobile is given by: a = Ct^2 + Dt^3, where (t) is the time. The units of (D) is:
Consider A runner moving in a positive direction with an initial velocity of 4.6 m/s slows down at a constant rate of -1.3 m/s squared over a period of 2 seconds. What distance does she travel during this process?
The equation of motion of a particle is s=t3−12t, where ss is in meters and tt is in seconds. Assume t≥0. (a) Find the velocity and acceleration as functions of t. (b) Find the acceleration after 6 s. (c) Find the acceleration when the velocity is 0.
The world record for the hundred meter dash is 9.58 s.What is the corresponding average speed in units of m/s,km/h,ft/s,and mi/h? At this speed, how long would it take to run 1.00 x 102 yards?
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?
An object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t + 7.88 where are constants have proper SI Units. What is the object's velocity at t = 4.19 s?
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?