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Equation Of Path Of A Projectile MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

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  • 17 Questions around this concept.

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A particle just clears a wall of height b at a distance a and strikes the ground at a distance c from the point of projection. The angle of projection is:

An object is projected with a velocity of 20 \mathrm{~m} / \mathrm{s} making an angle of  45^{\circ} with horizontal The equation for the trajectory is \mathrm{h=A x-B x^2} is height  \mathrm{x }  is horizontal distance, \mathrm{A}and \mathrm{B } are constant, the ratio \mathrm{A: B } is

A body of mass 20 \mathrm{~kg} is being Projected with an angle of 30^{\circ} with the vertical. The trajectory of body is observed at point  (30,20) If the ' \mathrm{ T} ', is time of fight Then its momentum vector, at time \mathrm{ t=\frac{T}{\sqrt{3}}} is

If the initial velocity in the Horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is $\mathrm{y}=10 \mathrm{x}(1-\mathrm{x})$. Find the y -component vector of initial velocity $\left(g=10 \mathrm{~m} / \mathrm{sec}^2\right)$

Assertion: For $x=10 m ;  y=12 x-\frac{6}{10} x^2$, this projectile motion the equation will reach the maximum height

Reason: Maximum height depends upon the initial velocity of the projectile.

 

For a parabolic path of projection $y=x-\frac{g x^2}{2 u^2 \cos ^2 \Theta}$. The angle of projection is 


 

The equation of projectile is given as $y=x-\frac{g x^2}{10}$. Then the maximum range of the projectile is ( x and y are in meters)

 

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Concepts Covered - 1

Equation of path of a projectile

$$
y=x \tan \theta-\frac{g x^2}{2 u^2 \cos ^2 \theta}
$$


It is equation of parabola, So the trajectory/path of the projectile is parabolic in nature.
$g \rightarrow$ Acceleration due to gravity
$u \rightarrow$ initial velocity
$\theta=$ Angle of projection

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Equation of path of a projectile

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