Question:
A missile is fired for maximum range with an initial velocity of $20\, m/s$. If $g = 10 \,m/s^2$, the range of the missile is
A missile is fired for maximum range with an initial velocity of $20\, m/s$. If $g = 10 \,m/s^2$, the range of the missile is
Updated On: May 3, 2024
- 40 m
- 50 m
- 60 m
- 20 m
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The Correct Option is A
Solution and Explanation
Maximum Range
$R _{\max }=\frac{ u ^{2}}{ g }=\frac{(20)^{2}}{10}=40 \,m$
$R _{\max }=\frac{ u ^{2}}{ g }=\frac{(20)^{2}}{10}=40 \,m$
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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