Question

17. An aeroplane requires for take off a minimum speed of
360 km h-?. If the engine of the aeroplane can produce
a maximum acceleration of 10 m s2 during its motion
on runway, what should be the minimum length of
runway for a successful take off by the aeroplane?​

Answer 1

Answer:

0.5 km

Explanation:

Minimum speed = 360 km/hr = 360×5/18 = 100m/s

a = 10 m/s²

Using equations of mation for uniformly accaccelerated body,

v² - u² = 2as

100² - 0 = 2(10)s

s = 1000/2

s = 500m = 0.5km

Answer 2

$\sf{\large{\underline{\underline{EXPLANATION:}}}}$

★Given,,

• Initial speed of the aeroplane,u=0m/s

• Final speed of the aeroplane,,v=360km/h=100m/s

• Acceleration of the aeroplane,a=10m/s²

★To find,,

• Length of the runway,s=??

★Using 3rd equation of motion,,

$\</strong><strong>s</strong><strong>f</strong><strong>{\boxed{</strong><strong>v^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>-u^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>=</strong><strong>2</strong><strong>a</strong><strong>s</strong><strong>}}$

$</strong><strong>\</strong><strong>s</strong><strong>f</strong><strong>{\</strong><strong>i</strong><strong>m</strong><strong>p</strong><strong>l</strong><strong>i</strong><strong>e</strong><strong>s</strong><strong>{</strong><strong>1</strong><strong>0</strong><strong>0</strong><strong>^{2}-</strong><strong>0</strong><strong>^{2}=2</strong><strong>0</strong><strong>s}}$

$\</strong><strong>s</strong><strong>f</strong><strong>{\implies{</strong><strong>\</strong><strong>c</strong><strong>a</strong><strong>n</strong><strong>c</strong><strong>e</strong><strong>l</strong><strong>\</strong><strong>d</strong><strong>f</strong><strong>r</strong><strong>a</strong><strong>c</strong><strong>{</strong><strong>1000</strong><strong>0</strong><strong>}</strong><strong>{</strong><strong>2</strong><strong>0</strong><strong>}</strong><strong>=s}}$

★Therefore,

$\sf{\implies{</strong><strong>s</strong><strong>=</strong><strong>5</strong><strong>0</strong><strong>0</strong><strong>m</strong><strong>=</strong><strong>0</strong><strong>.</strong><strong>5</strong><strong>k</strong><strong>m</strong><strong>}}$

$\rule{200}2$

Hope it helps ❣️❣️