Question:
A rifle shoots a bullet with a muzzle velocity of $ 500\,m{{s}^{-1}} $ at a small target $ 50\,m $ away. To hit the target the rifle must be aimed (take$ g=10\,m{{s}^{-2}}) $
A rifle shoots a bullet with a muzzle velocity of $ 500\,m{{s}^{-1}} $ at a small target $ 50\,m $ away. To hit the target the rifle must be aimed (take$ g=10\,m{{s}^{-2}}) $
Updated On: Jul 5, 2022
- exactly at the target
- 10 cm below the target
- 10 cm above the target
- 5 cm above the target
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The Correct Option is D
Solution and Explanation
Distance $ =ut $
$ \Rightarrow t=\frac{s}{u}=\frac{50}{500}=0.1\,s $
$ \therefore h=0+\frac{1}{2}g\,t^{2}=\frac{1}{2}\times 10\times (0.1)^{2} $
$ =0.05\,m=5\,cm $ (above the target)
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.