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Two bodies are projected from ground with same speeds $40\, ms ^{-1}$ at two different angles with respect to horizontal The bodies were found to have same range If one of the body was projected at an angle of $60^{\circ}$, with horizontal then sum of the maximum heights, attained by the two projectiles, is ____$m$ (Given $g=10 ms ^{-2}$ )
Two bodies are projected from ground with same speeds $40\, ms ^{-1}$ at two different angles with respect to horizontal The bodies were found to have same range If one of the body was projected at an angle of $60^{\circ}$, with horizontal then sum of the maximum heights, attained by the two projectiles, is ____$m$ (Given $g=10 ms ^{-2}$ )
Updated On: Sep 27, 2024
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Correct Answer: 80
Solution and Explanation
The correct answer is 80.
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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
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