## loco85 4 years ago The displacement (in meters) of a particle moving in a straight line is given by the equation of motion below, where t is measured in seconds. http://www.webassign.net/cgi-bin/symimage.cgi?expr=s%20%3D%207%2Ft%5E2 (a) Find the velocity of the particle at time t = a. m/s (b) Find the velocity of the particle at time t = 1. m/s (c) Find the velocity of the particle at time t = 2. m/s (d) Find the velocity of the particle at time t = 3. m/s

1. bendt

Differentiate and put your values of t in.

velocity is ds/dt so differentiate your equation, then plug in values for t

3. alice_smith

the answer is d

4. loco85

It's not multiple choice.

huh? this is not a multiple choice question

6. alice_smith

oh

7. bendt

Have you got it loco?

8. loco85

I'm having trouble figuring out how to do it.

9. alice_smith

u get better i tryed

10. bendt

$v=\frac{ds}{dt}=\frac{d(7t^{-2})}{dt}=-14t^{-3}$That's your function for velocity, now just plug in the values of t.

11. loco85

What would the value for a be then?

12. bendt

-14/a^3

13. loco85

The way you showed is really helpful.

14. bendt

Good, glad I helped.