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Question

An aeroplane moving horizontally with a speed of $$180 km/hr$$ drops a food packet while flying at a height of $$490m$$. The horizontal range of the packet is:


A
180m
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B
980m
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C
500m
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D
670m
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Solution

The correct options are
A $$180 m$$
B $$670 m$$
C $$500 m$$

Time taken by packet to arrive on the ground t

$$h=0\times t+\dfrac { 1 }{ 2 } g{ t }^{ 2 }\\ t=\sqrt { \dfrac { 2h }{ g }  } \\ =\sqrt { \dfrac { 2\times 490 }{ 9.8 }  } =\sqrt { 100 } =10\ sec.$$

Distance traveled by the packet in horizontal direction during the same time D

$$D= u\times t = 180 \times \dfrac {5}{18} \times 10 = 500\ m$$


Physics

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