Wednesday

April 1, 2015

April 1, 2015

Posted by **Rudy** on Sunday, October 14, 2012 at 1:03pm.

a.) Find the velocity as a function t. Use your answer to determine the velocity of the particle when t=pi/6 seconds. Indicate units of measure.

b.) Find the acceleration as a function of the time t. Use your answer to determine the velocity of the particle when t=pi/6 seconds. Indicate units of measure.

c.) What are the values of t,0≤t≤2pi, for which the particle is at rest?

d.) What are the values of t, 0≤t≤2pi, for which the particle moves to the right?

e.) At t=pi/6 seconds, is the particle speeding up or slowing down? Justify your answer.

- Calculus -
**Damon**, Sunday, October 14, 2012 at 3:18pmx = cos t - t

dx/dt = v = -sin t - 1

sin pi/6 = sin 30 = 1/2

so

v = -1.5

a = dv/dt = -cos t

I think you want the acceleration a = -sqrt3/2

when is v = 0 ?

when sin t = -1 which is t = 3 pi/2

when is v >0? when sin t <-1 which is never

when t = pi/6 , a is negative so v is getting less negative so slowing down

**Answer this Question**

**Related Questions**

calculus - a particle moves along a number line measured in cm so that its ...

math - A particle moves along the x-axis so that at any time t, measured in ...

Calculus - A particle moves along a line so that its posistion at any t is ...

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

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

calculus - A particle moves along a straight line with equation of motion s = f(...

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

calculus - Suppose that a particle moves along a line so that its velocity v at ...

CALCULUS - The displacement (in centimeters) of a particle moving back and forth...

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