Question

acroplane flying horizontally at an altitude of 490m with a speed of 180 kmph drops a bon
e horizontal distance at which it hits the ground is
500 m
2) 1000 m
3) 250 m
4) 50 m
113.​

Answer 1

An aeroplane flying horizontally at an altitude of 490m.

Speed at which aeroplane drops a bomb is 180 km/h

⠀

We have to, horizontal distance at which bomb hits the ground.

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$\sf Here \begin{cases} & \sf{Height, h = 490\;m} \\ & \sf{Horizontal\; velocity, u = 180\;km/h = 50\;m/s} \end{cases}$

☯ Formula to find time of flight,

$\star\;{\boxed{\sf{\purple{T = \sqrt{ \dfrac{2h}{g}}}}}}$

Now, Putting given values in formula,

$:\implies\sf \sqrt{ \dfrac{2 \times 490}{9.8}}\qquad\qquad\bigg\lgroup\bf g = 9.8 \bigg\rgroup$

$:\implies\sf \sqrt{ \dfrac{980}{9.8}}$

$:\implies\sf \sqrt{100}$

$:\implies{\boxed{\frak{\pink{10\;s}}}}\;\bigstar$

☯ Now, Finding horizontal distance,

$\star\;{\boxed{\sf{\purple{R = uT}}}}$

$:\implies\sf 50 \times 10$

$:\implies{\boxed{\frak{\pink{150\;m}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Horizontal\; distance\;at\;which\;bomb\;hits\;the\;ground\;is\; \bf{150\;m}.}}}$