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[6]
An aeroplane taking off from a field has a run of $500 m .$ What is its acceleration if the take-off velocity is $100 m / s$ and it leaves the ground $10$ $s$ after the start?

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5 m / s^{2}

10 m / s^{2}

{20 m / s}^{2}

None of these

answer is B.

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Detailed Solution

An aeroplane taking off from a field has a run of

500 m .

Its acceleration is

10 m / s

if the take-off velocity is

100 m / s

and it leaves the ground

10

seconds after the start.
Given that, the length of the runway is

500 m

,
time

t = 10

seconds
initially plane was at rest, so initial velocity

u = 0 m / s

Final velocity,

v = 100 m / s

Acceleration of aeroplane,

a

is unknown
According to the second equation of motion,

s = ut + \frac{1}{2} a t^{2}

Substituting the values, we have

500 = \frac{1}{2} a \times 10^{2}

Acceleration

a = 10 m / s^{2}

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