Question

An object moves along the x-axis according to the equation x(t) = (3 m/s^2)t^2 - (2 m/s)t + 3 m. (1) (a) The average velocity between t = 2 s and t = 3 s. (b) The instantaneous velocity at t = 2 s and at t = 3 s. (c) The average acceleration between t = 2 s and t = 3 s. (d) The instantaneous acceleration at t = 2 s and t = 3 s.

Name: an object moves along the x axis according to the equation xt 3 ms2t2 2 mst 3 m1 a the average velocity between t 2 s and t 3 s b the instantaneous velocity at t 2 s and at t 3 s c the avera 46746
Uploaded: 2022-07-26T06:46:26-08:00
Duration: 3 min 11 s
Channel: Sahil Kumar
Description: an object moves along the x axis according to the equation xt 3 ms2t2 2 mst 3 m1 a the average velocity between t 2 s and t 3 s b the instantaneous velocity at t 2 s and at t 3 s c the avera 46746

          An object moves along the x-axis according to the equation
x(t) = (3 m/s^2)t^2 - (2 m/s)t + 3 m. (1)
(a) The average velocity between t = 2 s and t = 3 s.
(b) The instantaneous velocity at t = 2 s and at t = 3 s.
(c) The average acceleration between t = 2 s and t = 3 s.
(d) The instantaneous acceleration at t = 2 s and t = 3 s.

Added by Milagros W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sahil Kumar

07/26/2022

Step 1

Given x(t) = (3 m/s^2)t^2 - (2 m/s)t + 3 m, we need to find x(3) and x(2) first. x(3) = (3 m/s^2)(3 s)^2 - (2 m/s)(3 s) + 3 m = 27 m x(2) = (3 m/s^2)(2 s)^2 - (2 m/s)(2 s) + 3 m = 11 m Average velocity = (x(3) - x(2)) / (3 s - 2 s) = (27 m - 11 m) / 1 s = 16 m/s Show more…

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An object moves along the x-axis according to the equation x(t) = (3 m/s^2)t^2 - (2 m/s)t + 3 m. (1) (a) The average velocity between t = 2 s and t = 3 s. (b) The instantaneous velocity at t = 2 s and at t = 3 s. (c) The average acceleration between t = 2 s and t = 3 s. (d) The instantaneous acceleration at t = 2 s and t = 3 s.