Please help with parts d,e,f,g
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Please help with parts d,e,f,g
![10. The position of a particle moving along a straight line is given by the
function S(t) = 2sint + cos2t, where S [cm] and t [seconds]
Answer all questions for the interval t= [0,27] seconds,
and account for all possible solutions! Use Interval Notation.
Round your answers to the nearest hundredth (2 decimal places),
if they are not exact integers, fractions, multiples of π or radicals.
a) What is the velocity of the particle at t = 2.8 s?
b) What is the acceleration of the particle at t = 3.5 s?
c) When is the particle neither accelerating, nor decelerating?
d) When does the particle change direction from positive to negative?
e) When does the particle change direction from negative to positive?
f) When is the particle moving away from the Origin?
g) What is the maximum distance from the Origin?
h) When is the velocity increasing?
i) What are the minimum and maximum velocities of the particle?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37b71807-2094-4d38-a3c8-8c798bcd17b9%2F46cd764f-4217-4b70-86af-cd2bfb66866f%2Fkx94dse_processed.png&w=3840&q=75)
Transcribed Image Text:10. The position of a particle moving along a straight line is given by the
function S(t) = 2sint + cos2t, where S [cm] and t [seconds]
Answer all questions for the interval t= [0,27] seconds,
and account for all possible solutions! Use Interval Notation.
Round your answers to the nearest hundredth (2 decimal places),
if they are not exact integers, fractions, multiples of π or radicals.
a) What is the velocity of the particle at t = 2.8 s?
b) What is the acceleration of the particle at t = 3.5 s?
c) When is the particle neither accelerating, nor decelerating?
d) When does the particle change direction from positive to negative?
e) When does the particle change direction from negative to positive?
f) When is the particle moving away from the Origin?
g) What is the maximum distance from the Origin?
h) When is the velocity increasing?
i) What are the minimum and maximum velocities of the particle?
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