Friday

August 1, 2014

August 1, 2014

Posted by **D** on Thursday, November 11, 2010 at 5:13pm.

I found out that the total displacement is .4116

But I cannot find the total distance traveled.

- Calculus -
**MathMate**, Thursday, November 11, 2010 at 5:51pmLet

v(t)=velocity function = t^-2 - 1/9

s(t)=displacement function. = -t/9-1/t

and

displacement = s(4)-s(1)= -25/36 - (-10/9) = 5/12 ft.

If s(t) is monotonically increasing or decreasing, then the displacement equals the distance travelled.

However, we note that v(3)=0, after which time the velocity reverses in direction.

So the distance travelled equals

s(4)-s(3) - [s(3)-s(1)]

=-25/36 -(-2/3) - [(-2/3)-(-10/9)]

=-17/36

Ignore the sign, since distance is a scalar.

So distance = 17/36 ft.

**Related Questions**

Math - A particle moves in a straight line with velocity t^(-2)-(1/16) ft/s. ...

calculus - The velocity function is v(t) = - t^2 + 4 t - 3 for a particle moving...

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

math - The velocity function (in meters per second) for a particle moving along ...

Calculus - The displacement (in meters) of a particle moving in a straight line ...

calculus - Find the total distance traveled by the particle moving along a ...

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 ...

Calculus-particle motion - 1. A particle is moving on the x-axis (or any number ...

HS Calculus - Having trouble with this questions. Please help. A particle moves ...