Monday

September 22, 2014

September 22, 2014

Posted by **allan** on Thursday, December 9, 2010 at 12:29am.

i have to find the expression for the velocity and what values t is at rest

- calculus -
**Reiny**, Thursday, December 9, 2010 at 8:49amsince a(t) = 6t -18

v(t) = 3t^2 - 18 + c

but we are told v(0) = 24

so 24 = 0 + 0 + c, ----> c = 24

if v(t) = 3t^2 - 18t + 24

x(t) = t^3 - 9t^2 + 24t + k

but we are told x(1) = 20

so 20 = 1 - 9 + 24 + k , ---> k = 4

x(t) = t^3 - 9t^2 + 24t + 4

Your last sentence is confusing.

Did you mean " ... and what values of t the particle is at rest" ?

anyway, since you now have all 3 equations, I am pretty sure you can proceed from there

**Answer this Question**

**Related Questions**

ap calculus - a particle moves along the x axis in such a way that its ...

calculus - 5. A particle moves along the x-axis in such a way that its position ...

Calculus - A particle, initially at rest, moves along the x-axis such that its ...

calculus - 5. A particle moves along the y – axis with velocity given by v(t)=...

Calc - A particle moves along the x-axis in such a way that it's position in ...

Calc - A particle moves along the x-axis in such a way that it's position in ...

calculus - A Particle moves along the x-axis so that at any time t>0, its ...

Calculus - a particle starts at time t = 0 and moves along the x axis so that ...

Calculus (Answer Check) - A particle moves along the x-axis so that its velocity...

Calculus (Answer Check) - A particle moves along the x-axis so that its ...