Equation of Motion Particle...1

[nycmathguy]

Calculus
Section 3.1

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

 

[MathLover1]

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.

 

[nycmathguy]

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.

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?

 

[MathLover1]

yes

 

[nycmathguy]

yes

I will do 53 using your reply as my guide. I left the beach at 2:30 pm after 3 hours. I simply got bored. I gotta find a place to visit starting next weekend.