Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

An aircraft has a liftoff speed of 33 m/s. what minimum constant acceleration does this require if the aircraft is to be airborne after a take-off run of 240m? show work.

Sagot :

We will use simple formula for velocity with constant acceleration.
[tex]v=v0+at[/tex] and formula for path [tex]x=x0+v0t+ \frac{1}{2}a t^{2} [/tex]
where:
v0 - initial velocity
a - constant acceleration
t- time
x - path
x0 - initial position
v0, and x0 are equal to 0 in this case, so we can simplify our formula to
[tex]v=at[/tex] and [tex]x= \frac{1}{2}a t^{2} [/tex]
We can modify first formula to get time
[tex]t= \frac{v}{a} [/tex] and substitute it to second formula.
[tex]x= \frac{1}{2}*a \frac{ v^{2}}{ a^{2} } = \frac{1}{2} \frac{ v^{2} }{a} [/tex] 
Now we can find acceleration
[tex]a= \frac{1}{2} \frac{ v^{2} }{x} =2.27[/tex] m/s 
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.