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Problem 10: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: a,(1) = -6 +57t, where t is in seconds and a, is in meters per square second. The particle's velocity at t=0 was pointed towards the positive x-axis and has a magnitude of 21 m/s.

Problem 10: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: a,(1) = -6 +57t, where t is in seconds and a, is in meters per square second. The particle's velocity at t=0 was pointed towards the positive x-axis and has a magnitude of 21 m/s.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer parts d through f

Problem 10: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: a,(t) = -6 + 57t, where t is in seconds and a, is in meters per square second. The particle's velocity at t = 0 was pointed towards the positive x-axis and has a magnitude of 21 m/s. Part (a) Find the instantaneous acceleration, in meters per square second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. ax = Part (b) Find the instantaneous acceleration, in meters per square second, at t = 2 sec. Numeric : A numeric value is expected and not an expression. ax = Part (c) Find the instantaneous acceleration, in meters per square second, at t = 3 sec. Numeric : A numeric value is expected and not an expression. a, = 7:27 AM Part (d) Find the instantaneous velocity, in meters per second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. Vy = Part (e) Find the instantaneous velocity, in meters per second, at t 2 sec. Numeric : A numeric value is expected and not an expression. Vy = Part (f) Find the instantaneous velocity, in meters per second, at t = 3 sec. Numeric : A numeric value is expected and not an expression. Vy = Part (g) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 1 s. Numeric : A numeric value is expected and not an expression. Part (h) If the particle was at x = 0 at t 0, find the position in meters of the particle at t = 2 s. Numeric : Anumeric value is expected and not an expression. Part (i) If the particle was at x = 0 at 1 = 0, find the position in meters of the particle at t = 3 s. Numeric : A numeric value is expected and not an expression.
Transcribed Image Text:Problem 10: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and the x-component varies as given by the following function: a,(t) = -6 + 57t, where t is in seconds and a, is in meters per square second. The particle's velocity at t = 0 was pointed towards the positive x-axis and has a magnitude of 21 m/s. Part (a) Find the instantaneous acceleration, in meters per square second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. ax = Part (b) Find the instantaneous acceleration, in meters per square second, at t = 2 sec. Numeric : A numeric value is expected and not an expression. ax = Part (c) Find the instantaneous acceleration, in meters per square second, at t = 3 sec. Numeric : A numeric value is expected and not an expression. a, = 7:27 AM Part (d) Find the instantaneous velocity, in meters per second, at t = 1 sec. Numeric : A numeric value is expected and not an expression. Vy = Part (e) Find the instantaneous velocity, in meters per second, at t 2 sec. Numeric : A numeric value is expected and not an expression. Vy = Part (f) Find the instantaneous velocity, in meters per second, at t = 3 sec. Numeric : A numeric value is expected and not an expression. Vy = Part (g) If the particle was at x = 0 at t = 0, find the position in meters of the particle at t = 1 s. Numeric : A numeric value is expected and not an expression. Part (h) If the particle was at x = 0 at t 0, find the position in meters of the particle at t = 2 s. Numeric : Anumeric value is expected and not an expression. Part (i) If the particle was at x = 0 at 1 = 0, find the position in meters of the particle at t = 3 s. Numeric : A numeric value is expected and not an expression.
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