Question:
A ball is dropped from height h and another from $2h.$ The ratio of time taken by the two balls to reach the ground is
A ball is dropped from height h and another from $2h.$ The ratio of time taken by the two balls to reach the ground is
Updated On: Jun 25, 2024
- $1 : \sqrt{2} $
- $ \sqrt{2} : 1 $
- $2 : 1 $
- $1 : 2 $
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The Correct Option is A
Solution and Explanation
As we know that,
$t =\sqrt{\frac{2 h }{ g }}$ and
$t'=\sqrt{\frac{2(2 h )}{ g }} $
$\therefore \frac{ t }{ t ^{\prime}}=\frac{1}{\sqrt{2}}$
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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