questions on integration (1 Viewer)

[girlworld_club]

I have a couple of questions if anyone can assist that would be heaps appreciated.

a) A particle has a constant acceleration of 12m/s. if the particle has a velocity of 2 ms and is 3m from the origin after 5s, find it's displacement after 10s

b) A projectile is accelerating at a constant rate of -9.8ms. If it is initially 2m high and has a velocity of 4ms find the equation of the height of the projectile.

c) Find the integral of (2x+1)/(3x^2+3x-2)

Thanks

 

[MrBeefJerky]

Does anyone here know how to use LaTeX? is it a program I have to install?

 

[Smile12345]

Does anyone here know how to use LaTeX? is it a program I have to install?

Yes, you can install it. There is a thread on it somewhere in Mathematics...

 

[Kurosaki]

No, you can use codecogs for it.

http://www.codecogs.com/latex/eqneditor.php
a. if the acceleration is always 12, then a=12.
therefore integrating with respect to time, v=12t +c. substitute in t=5,v=2 to find c and thus the equation for v. integrate v to get x, and substitute in x=3, t=5. after this you've found x, so substitute in t=10 to find displacement
b. Same principle really
c. Look at the denominator and differentiate that by itself. Does it look like something on the top?

 

[MrBeefJerky]

How do i make it appear like that on the bored of studies? Copy and paste?

 

[nerdasdasd]

How do i make it appear like that on the bored of studies? Copy and paste?

Use latex.

 

[HeroicPandas]

 

[girlworld_club]

anyone for the second question?

 

[asianese]

b) A projectile is accelerating at a constant rate of -9.8ms. If it is initially 2m high and has a velocity of 4ms find the equation of the height of the projectile.

Substitute in initial conditions. Integrate again.

 

[girlworld_club]

thanks everyone ) i have anther question not sure if this is 2 or 3 unit topic

Show that sin(2x + 30#) = root3 sinx cosx + cos^2x – 1/2.

and

Express root2 sinx + cosx in the form rsin(x + α).

p.s 3 means pie i couldn't find an easier symbol.

thanks again

 

[girlworld_club]

not sure what you are answering..lol

 

[levaly]

Here is a step by step solution to (c) the integration question:

http://www.symbolab.com/solutions/integrals?query=\int\frac{2x+1}{3x^{2}+3x-2}dx