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[tex]\huge \bf༆ question༄[/tex]

Three stones A, B , C are projected from surface of very long inclined plane with equal speeds and different angles of projection as shown in the figure. The incline makes an angle [tex] \theta [/tex] with horizontal. if [tex] \sf {H_A , H_B and H_C} [/tex] are maximum height attained by A, B and C respectively above inclined plane then choose the Correct choice among them ~

[tex] \sf{H_A + H_C = H_B }[/tex]

[tex] \sf{H_A {}^{2} + H_C {}^{2} } = H_B {}^{2} [/tex]

[tex] \sf H_A + H_C = 2 H_B [/tex]

[tex]\sf H_A {}^{2} + H_C {}^{2} = 2 H_B {}^{2} [/tex]
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Texhuge Bf QuestiontexThree Stones A B C Are Projected From Surface Of Very Long Inclined Plane With Equal Speeds And Different Angles Of Projection As Shown In class=

Sagot :

[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Correct \: option \: is \: A) :-}}}}}}[/tex]

[tex]\rule{300pt}{3pt}[/tex]

[tex]\large{|\underline{\mathtt{\red{E}\blue{x}\orange{p}\pink{l}\blue{a}\purple{n}\green{a}\red{t}\blue{i}\green{o}\orange{n:-}}}}[/tex]

  • [tex] \large \tt \red {H_{B} = \frac{u ^{2} }{2g \sin \theta } }[/tex]

  • [tex] \large \tt \orange { H_{A} = \frac{u ^{2} \sin ^{2} \alpha }{2g \sin \theta} }[/tex]

  • [tex] \large \tt \blue { H_{C} = \frac{u ^{2} \sin ^{2} (90 - \alpha )}{2g \sin \theta} = \frac{u ^{2} \cos ^{2} \alpha }{2g \sin \theta } }[/tex]

[tex] \large \tt \pink{⇒ H_{C} + H_{A} = H_{B}}[/tex]

onyebuchinnaji

The resultant of the vectors is [tex]H_A + H_C = H_B[/tex].

What is a resultant vector?

A resultant vector is the vector sum of two or more vectors.

The given vectors;

  • Height of vector A = HA
  • Height of vector B = HB
  • Height of vector C = HC

The height of vector B is the resultant of the three given vectors.

When the vectors are drawn from head to tail, the vector B forms the resultant of the two other vectors (A and C).

Thus, the resultant of the vectors is [tex]H_A + H_C = H_B[/tex].

Learn more about resultant vectors here: https://brainly.com/question/110151

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