Question:
A boy can throw a stone up to a maximum height of $10\,m$. The maximum horizontal distance that the boy can throw the same stone up to will be :
A boy can throw a stone up to a maximum height of $10\,m$. The maximum horizontal distance that the boy can throw the same stone up to will be :
Updated On: Jul 5, 2022
- $20\sqrt{2}\,m$
- $10\,m$
- $10\sqrt{2}\,m$
- $20m$
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The Correct Option is D
Solution and Explanation
$h_{max}=\frac{u^{2}}{2g}=10$
$u^{2}=200 \,...\left(1\right)$
$R_{max}=\frac{u^{2}}{g}=20m$
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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