Question:
For a given angle of projection, if the time of flight of a projectile is doubled, the horizontal range will increase to :
For a given angle of projection, if the time of flight of a projectile is doubled, the horizontal range will increase to :
Updated On: Jul 5, 2022
- four times
- thrice
- once
- twice
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The formula for time of flight and horizontal ray is given by as
$g T^{2}=2 R \tan \alpha$
$\Rightarrow R \propto T^{2} \ldots $ (l)
From the relation (1),
if $T$ is doubled then $R$ will be four times
Was this answer helpful?
0
0
Top Questions on Motion in a plane
- The resultant of two vectors \( \vec{A} \) and \( \vec{B} \) is perpendicular to \( \vec{A} \) and its magnitude is half that of \( \vec{B} \). The angle between vectors \( \vec{A} \) and \( \vec{B} \) is ________ .
- JEE Main - 2024
- Physics
- Motion in a plane
- If two vectors \(\vec{A}\) and \(\vec{B}\) having equal magnitude \(R\) are inclined at an angle \(\theta\), then
- JEE Main - 2024
- Physics
- Motion in a plane
- A ball dropped from a bridge hits the surface of the water in 3 𝑠. The height of the bridge, ignoring air resistance, is ___ 𝑚 (rounded off to one decimal place). (Use $𝑔 = 9.8 𝑚𝑠^{−2}$)
- IIT JAM BT - 2024
- Physics
- Motion in a plane
- A bullet is fired from a gun at the speed of 280 ms-1 in the direction 30° above the horizontal. The maximum height attained by the bullet is
(g = 9.8 ms-2, sin 30° = 0.5)- NEET (UG) - 2023
- Physics
- Motion in a plane
Car P is heading east with a speed V and car Q is heading north with a speed \(\sqrt{3}\). What is the velocity of car Q with respect to car P?
- KEAM - 2023
- Physics
- Motion in a plane
View More Questions
Questions Asked in Haryana PMT exam
- The elements of xylem tissue that stores tannins are
- Haryana PMT - 2012
- The Tissue System
- Epithelium with single layer of tall and slender cells with microvilli on their free surface is found in
- Haryana PMT - 2012
- Structural Organisation of Animals and plants
- The root mean square velocity of the molecules in a sample of helium is $ \frac{5}{7} $ th that of the molecules in a simple of hydrogen. If the temperature of hydrogen sample is $ 0^{\circ} C $ then that of helium sample is about
- Haryana PMT - 2011
- Kinetic molecular theory of gases
- An SHM is given by $y = 5 [\sin (3 \pi t) + \sqrt{3} \cos (3 \pi t)] $ What is the amplitude of the motion of $y$ in metre?
- Haryana PMT - 2011
- simple harmonic motion
- The fundamental frequency of a closed pipe is 220 Hz. If $\frac{1}{4}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is
- Haryana PMT - 2011
- Oscillations
View More Questions
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration