(a) An object's position in metres at a given time t is described by the formula ,3+ 21- 9t + : Find the acceleration of the object when t= 10seconds. (b) The voltage across the plates of a capacitor at any time, t seconds is given by v=Ve where V,C and R are constants. Given V 200volts, C=0.1x10 farads and R = 2x10 ohms find (1) the initial rate of change of the voltage ()the rate of change of the Voltage after 0.2s. (c) The displacement, r, of a particle in simple harmonicmotion is given by - cos(3r)- sin(3t). Show that

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.31P
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Hi can you please complete the question fully,

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(a) An object's position in metres at a given time t is described by the formula
-3 + 22 - 9t + 7
Find the acceleration of the object when t = 10seconds.
(b) The voltage across the plates of a capacitor at any time, t seconds is given by
where V,C and R are constants.
Given V 200volts, C- 0.1×1o farads and R = 2x10 ohms find
() the initial rate of change of the voltage
(1)the rate of change of the voltage after 0 2s.
(c) The displacement, x, of a particle in simple harmonic motion is given by
x - cos(3r) - sin(3r).
Show that
de-
Transcribed Image Text:(a) An object's position in metres at a given time t is described by the formula -3 + 22 - 9t + 7 Find the acceleration of the object when t = 10seconds. (b) The voltage across the plates of a capacitor at any time, t seconds is given by where V,C and R are constants. Given V 200volts, C- 0.1×1o farads and R = 2x10 ohms find () the initial rate of change of the voltage (1)the rate of change of the voltage after 0 2s. (c) The displacement, x, of a particle in simple harmonic motion is given by x - cos(3r) - sin(3r). Show that de-
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