## onegirl 2 years ago Use the position function to find the velocity at time t = a (HINT: Velocity is the first derivative of the position function). S(t) = t2 - sin√t, a = 0

1. onegirl

@mathsmind can u help?

2. harsimran_hs4

v = ds/dt can you find v?

3. onegirl

thats the formula?

4. harsimran_hs4

yes you need to differentiate displacement once wrt time to get velocity

5. onegirl

ok

6. harsimran_hs4

find out the derivative and tell

7. onegirl

the derivative of t^2 - sin sqrt(t) right?

8. genius12

$V(t)=S'(t)=2t-\cos (\sqrt t)*\frac{ 1 }{ 2 }t^{-\frac{ 1 }{ 2 }}$$V(a)=V(0)=2(0)-\cos(\sqrt 0)*\frac{ 1 }{ 2 }(0)^{-\frac{ 1 }{ 2 }}\rightarrow V(0)=0$

9. harsimran_hs4

@genius12 this is not done you should let @onegirl try out herself

10. onegirl

yea i wanna know how i do it

11. genius12

Well if you look at the work I did above to get the answer, you should be able to figure it out. If you can't understand any of the steps or how I got to a certain point, ask me.

12. onegirl

okay