(a) The equation of motion for a moving particle is s(t) = t³ – 3t, where s is in meters and t is in seconds. (Assume t > 0.) (i) Find the velocity and acceleration as functions of t. (ii) Find the acceleration after 3 second. (iii) Find the acceleration when the velocity is 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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(a) The equation of motion for a moving particle is
s(t) = t3 – 3t,
where s is in meters and t is in seconds. (Assume t > 0.)
(i) Find the velocity and acceleration as functions of t.
(ii) Find the acceleration after 3 second.
(iii) Find the acceleration when the velocity is 0.
(b) Given that
y = f(x) = ez
(i)
(ii)
Find the differential dy.
Evaluate the differential for the given values of x and dx.
х%3D 0, dx
= 0.1
(c) The edge of a cube was found to be 30 cm with a possible error in measurement of 0.2
cm. Use differentials to estimate the maximum possible error in computing the volume of
the cube and the surface area of the cube. (Express your answers in fraction form.)
Transcribed Image Text:(a) The equation of motion for a moving particle is s(t) = t3 – 3t, where s is in meters and t is in seconds. (Assume t > 0.) (i) Find the velocity and acceleration as functions of t. (ii) Find the acceleration after 3 second. (iii) Find the acceleration when the velocity is 0. (b) Given that y = f(x) = ez (i) (ii) Find the differential dy. Evaluate the differential for the given values of x and dx. х%3D 0, dx = 0.1 (c) The edge of a cube was found to be 30 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the maximum possible error in computing the volume of the cube and the surface area of the cube. (Express your answers in fraction form.)
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