an aircraft is about to take off from a runway which is 850m long its take off speed must be 90m.s calculate the minimum acceleration necessary for the aircraft to take off

Question

ash2326 · Answer

We are given the distance the aircraft covers before it achieves a speed of 90m/s as 850 m
Now initially velocity of the aircraft is  u 0 m/s
final velocity v= 90m/s
distance s= 850 m/s
a= acceleration?
We'll use the relation
$$v^2-u^=2as$$
u=0
$$(90)^2=2 \times a \times 850$$
Can you find acceleration now?

ash2326 · Answer

Sorry it's 
$$v^2-u^2=2as$$

ash2326 · Answer

Did you understand?

anonymous · Answer

ya makes sense then you square root the answere right

ash2326 · Answer

No we need to find a!!!
this does not require square rooting
$$2as=v^2$$
$$a=\frac{v^2}{2s} m/s^2$$

anonymous · Answer

oh ya think i get it mind just checking my answer

ash2326 · Answer

Yeah, what do you get?

anonymous · Answer

4.8 m/s

ash2326 · Answer

It's right but the unit of acceleration is m/s^2
so
4.8 m/s^2

anonymous · Answer

yeah i know just couldn't figure out how to add superscripts but thanks a million man you were really helpful :D

ash2326 · Answer

Welcome:D