Friday

December 19, 2014

December 19, 2014

Posted by **MEG** on Monday, November 15, 2010 at 10:05pm.

- Calculus -
**Reiny**, Monday, November 15, 2010 at 10:22pmmax velocity occurs when the second derivative is zero

so ...

x(t) = 2πt + cos(2πt)

x '(t) = 2π - 2π(sin 2πt)

x ''(t) = 0 - 4π^2(cos 2πt)

= 0 for a max/min of velocity

cos 2πt = 0

2πt = π/2 or 2πt = 3π/2

t = 1/4 or t = 3/4

if t= 1/4

v(1/4) = x '(1/4) = 2π - 2π(sin π/2) = 2π - 2π = 0

if t=3/4

v(3/4) = 2π - 2π(sin 3π/2) = 2π + 2π = 4π

**Answer this Question**

**Related Questions**

Calculus - A particle starts at the point (5,0) at t=0 and moves along the x-...

calculus - 4. A particle starts at the point (5, 0) at t = 0 and moves along the...

Calculus - A particle moves along the x-axis with the velocity given by v(t)=3t...

Calculus - How would I solve this: -A particle moves along a line so that, at ...

Calculus - a particle moves along a line so that at any time t its position is ...

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

physics - The position of a particle moving along an x axis is given by x = 15t2...

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

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

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