integrate 3+5t dt, find the C also

Question

anonymous · Answer

The gas piston of an M4 carbine rifle with in initial position of x0=5[mm].experiences a velocity defined by x’=3+5t for one second. What is the piston’s finale position?

anonymous · Answer

Are we using the definition of an integral, or are we just taking an anti derivative?

anonymous · Answer

Okay so do you know how to find the indefinite integral here? $$\int 3+5t\ dt$$

anonymous · Answer

of course it will be 3t+5t square/2 + c, not the point is how to find the C

anonymous · Answer

did you ready the question plz help me.

anonymous · Answer

The gas piston of an M4 carbine rifle with in initial position of x0=5[mm].experiences a velocity defined by x’=3+5t for one second. What is the piston’s finale position?

anonymous · Answer

Okay, so we know that $$5 = 3(0)+5(0)^2+c$$Can you solve for c?

anonymous · Answer

C will be 5

anonymous · Answer

So you have the function of position with respect to time.  They gave you a time.

anonymous · Answer

So what is the final position, please write the full step

anonymous · Answer

the time is in one secant

anonymous · Answer

$$3(1)+5(1)^2+5$$Right?

anonymous · Answer

yes

anonymous · Answer

My Dear thanks for helping me please once again ready the question and write, the step and final anwer

anonymous · Answer

I mean read the question sorry by mistake it wrote ready

anonymous · Answer

you mean the final answer is 13 mm

anonymous · Answer

Yeah....

anonymous · Answer

I am studying dynamics of structure that is why

anonymous · Answer

how you find 5=3(0)+5(0)2+c, zero in here where zero come from 0

anonymous · Answer

We let $t=0$ at the initial time.  And $t=1$ at the final time.

anonymous · Answer

Hey wio thanks alot i got the answer but i need the steps

anonymous · Answer

please write from start to end

anonymous · Answer

To find c, you need a sample point.  They point they gave you is (0,5).

anonymous · Answer

" initial position of x0=5[mm]"  means (0,5)

anonymous · Answer

then

anonymous · Answer

suppose someone gave you this question

anonymous · Answer

The gas piston of an M4 carbine rifle with in initial position of x0=5[mm].experiences a velocity defined by x’=3+5t for one second. What is the piston’s finale position?

anonymous · Answer

from where you start the solution

anonymous · Answer

hey anyone plz help me

anonymous · Answer

see we integrate 3+5t dt = 3t+5t square / 2 + c

anonymous · Answer

how to find C