Sunday

January 25, 2015

January 25, 2015

Posted by **Isha** on Sunday, December 30, 2012 at 6:42am.

The posistion of a particle moving along a coordinate line is s=sqrt(5+4t), with s in meters and t in seconds.

Find the particle's velocity at t=1 sec.

A) 2/3 m/sec

B) 4/3 m/sec

C) -1/3 m/sec

D) 1/6 m/sec

Thank you!

- Calculus -
**drwls**, Sunday, December 30, 2012 at 7:33amDifferentiate s(t). The derivative, ds/dt, is the speed as a function of t.

ds/dt = [(1/2)/sqrt(5 +4t)]*4

= 2/sqrt(5+4t)

At t = 1, this equals 2/(sqrt9) = 2/3

**Answer this Question**

**Related Questions**

calculus - the position of a particle moving along a coordinate line is s=√...

calculus - Me again. One last question! Again, just needed my answer verified ...

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

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

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 ...

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

Calculus - The velocity of a particle moving along the x-axis is given by f(t)=6...

AP Calculus - The position of a particle moving on the x-axis at time t>0 ...