2. The position function of an object is given by s(t) = 2t³ - 3t² - 12t + 8 where t 20. a) Find the velocity and acceleration functions. b) Find the time interval in which the object is moving in the positive direction. Find the time interval in which the object is moving in the negative direction. c) Sketch the path of the particle along a coordinate axis. d) Find the displacement and the distance traveled from t = 1 to t = 3. (Remember that distance refers to the actual ground that an object has covered during its motion. Displacement describes the overall change in position, or how far away and in which direction an object is from its original location.)
2. The position function of an object is given by s(t) = 2t³ - 3t² - 12t + 8 where t 20. a) Find the velocity and acceleration functions. b) Find the time interval in which the object is moving in the positive direction. Find the time interval in which the object is moving in the negative direction. c) Sketch the path of the particle along a coordinate axis. d) Find the displacement and the distance traveled from t = 1 to t = 3. (Remember that distance refers to the actual ground that an object has covered during its motion. Displacement describes the overall change in position, or how far away and in which direction an object is from its original location.)
Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 27A: Write a CNC G-code program to machine the part in the following figure, so that the tip of the tool...
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2. The position function of an object is given by s(t) = 2t³ − 3t² − 12t + 8 where t ≥ 0.
a) Find the velocity and acceleration functions.
b) Find the time interval in which the object is moving in the positive direction. Find the time
interval in which the object is moving in the negative direction.
c) Sketch the path of the particle along a coordinate axis.
d) Find the displacement and the distance traveled from t = 1 to t = 3. (Remember that
distance refers to the actual ground that an object has covered during its motion. Displacement
describes the overall change in position, or how far away and in which direction an object is
from its original location.)
a.) v(+) = 5²(²)
b.)
a(t) = silt)
6+² - 6t-12
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