(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.
(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.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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