Question:
A ball is thrown horizontally from a height of $ 100\, m $ with an initial speed of $ 15\,m \,s^{-1} $ . How far does it travel horizontally in the first $ 2 $ seconds ?
A ball is thrown horizontally from a height of $ 100\, m $ with an initial speed of $ 15\,m \,s^{-1} $ . How far does it travel horizontally in the first $ 2 $ seconds ?
Updated On: Jun 14, 2022
- $ 3\,m $
- $ 7.5\,m $
- $ 30\,m $
- $ 0.3\,m $
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The Correct Option is C
Solution and Explanation
$v_{x} =15\,m\,s^{-1}, t=2\,sec$
Horizontal displacement, $dx=v_{x}$.
$t=15\times 2$
$=30\,m$
Horizontal displacement, $dx=v_{x}$.
$t=15\times 2$
$=30\,m$
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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