4) A particle moves according to the low of motion S(t) t2 +1' t> 0, where t is measured in seconds and S in feet a) Find the velocity at time t b) What is the velocity after 3 seconds c) When is the particle at rest? d) When is the particle moving in the positive direction?

4) A particle moves according to the low of motion S(t) t2 +1' t> 0, where t is measured in seconds and S in feet a) Find the velocity at time t b) What is the velocity after 3 seconds c) When is the particle at rest? d) When is the particle moving in the positive direction?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

4) A particle moves according to the low of motion
t
S(t) =
t2 0,
t2 +1
where t is measured in seconds and S in feet
a) Find the velocity at time t
b) What is the velocity after 3 seconds
c) When is the particle at rest?
d) When is the particle moving in the positive direction?
e) Draw a diagram to illustrate the motion of particle
f) Find the total distance traveled during the first 8 seconds
g) Give answer as a fraction in lowest terms

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