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

Question

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

anonymous · Answer

@mathsmind  can u help?

harsimran_hs4 · Answer

v = ds/dt can you find v?

anonymous · Answer

thats the formula?

harsimran_hs4 · Answer

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

anonymous · Answer

ok

harsimran_hs4 · Answer

find out the derivative and tell

anonymous · Answer

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

anonymous · Answer

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

harsimran_hs4 · Answer

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

anonymous · Answer

yea i wanna know how i do it

anonymous · Answer

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.

anonymous · Answer

okay