# Equation of Motion Particle...1

Discussion in 'Calculus' started by nycmathguy, Jun 18, 2022.

1. ### nycmathguy

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Calculus
Section 3.1

Can you do 54 (a - c)? Show your steps. I will do 53.

nycmathguy, Jun 18, 2022
2. ### MathLover1

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54.
the equation of motion of a particle is s=t^4-2t^3+t^2-t, where s is in meters and t is in seconds

a. find the velocity and acceleration as function of t

the velocity v(t)=s'(t)
v(t)=4t^3-6t^2+2t-1

the acceleration is a(t)= v'(t)

a(t)=12t^2-12t+2

b.

t=1
a(1)=12*1^2-12*1+2=2

c.

Last edited: Jun 19, 2022
MathLover1, Jun 19, 2022
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3. ### nycmathguy

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Are you saying that the velocity is the derivative of the given function?

Are you also saying that the acceleration is the derivative of the velocity?

nycmathguy, Jun 19, 2022
4. ### MathLover1

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yes

MathLover1, Jun 19, 2022
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