Saturday

April 18, 2015

April 18, 2015

Posted by **Matt** on Monday, February 7, 2011 at 6:28pm.

a.) Where is the particle when it is at rest?

b.) During what time interval is the particle moving to the LEFT?

c.) When is the acceleration lest?

d.) What is the TOTAL distance traveled by the particle from t=0 to t=3 ?

- Calculus-particle motion -
**Damon**, Monday, February 7, 2011 at 8:53pma) at rest means dx/dt = 0

12 t^2 -32 t + 15 = 0

t = 2.05 or .607

find x for those two values of t

b) where is dx/dt negative

do a sketch of dx(t)/dt =12t^2-32t+15

you know it is a parabola facing up (holds water) because of the positive coef of x^2

You know it is 0 at t = 2.05 and .607

so it is negative between those two times.

c) a = d^2x/dt^2 = 24 t -32

that seems to be least for t = 0 unless it means |a| which is 0 at t = 32/24

d) integral from 0 to 3 of original function is

value of t^4 - (16/3)t^3 +(15/2)t^2

when t = 3

(since it is 0 at t = 0)

**Answer this Question**

**Related Questions**

Calculus - The position of a particle moving on a horizontal line is given by s(...

Physics - A particle is moving along a straight line and its position is given ...

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

Calculous - A particle moves along the c-axis so that at time t its position is ...

calculus - A particle moves on the x-axis so that its velocity at any time t is ...

AP CALC. AB - 1.The position of a particle moving on the line y = 2 is given by ...

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 ...