Question

An aeroplane moving horizontally with a speed of \[180km/hr\] drops a food packet while flying at a height of \[490m\]. The horizontal range is:
A. \[180m\]
B. \[980m\]
C. \[500m\]
D. \[670m\]

Answer 1

Hint: A projectile’s horizontal range is the distance along the horizontal plane. The horizontal range depends upon the launch angle and initial velocity, and the acceleration occurring due to the gravity. The unit of horizontal range is meters. Memorize the formula of Horizontal Range of a projectile to find the solution of this question.

Complete step by step answer:
A projectile motion is the motion of an object when projected or thrown in air. The path is called trajectory and the object is called projectile. There are many examples of projectiles.. A projectile dropped or projected continues in motion by its own inertia. Gravity acts on the projectile, when the initial velocity is applied to it.It is influenced only by the downward force of gravity.
After dropping food packet from aeroplane then speed of food packet is also 180km/hr.
It is a case of Horizontal projectile from height.
\[u = 180km/h\]
\[ = 180 \times \dfrac{5}{{18}}\]
\[ = 50m/s\]
So, time taken to reach bottom
\[T = \sqrt {\dfrac{{2H}}{g}} \]
\[ = \sqrt {\dfrac{{2 \times 490 \times 10}}{{98}}} \]
\[ = 10\sec \]
So, Horizontal Range(R)= \[u \times t\]
= \[50 \times 10\]
= \[500m\]

So, the correct answer is “Option C”.

Note:
The amount of time spent in the air is called the time of flight. The time of flight only depends on the initial velocity and the launch angle and the acceleration due to gravity.
The unit for the time of flight is seconds (s). An object that is thrown vertically upward with an angle is a projectile and an object dropped from rest is a projectile.