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Byju's Answer

Standard XII

Mathematics

Projection of a Line Segment on a Line

A particle is...

Question

A particle is projected with velocity $u$ at an angle $α$ from a point $P$ on a horizontal plane strikes the plane at $Q$ . The average velocity of the praticle for its journey from $P$ to $Q$ is-

\frac{u s i n α}{2}

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u c o s α

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\frac{u}{2}

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\frac{u s i n α}{4}

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Solution

The correct option is B $u c o s α$
Let the time of flight be $t$
Total displacement of the particle $S_{x} = u_{x} t$
$∴$ $S_{x} = P Q = (u c o s α) t$
Thus average velocity $v_{a v g} = \frac{S_{x}}{t} = u$ $c o s α$

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A particle is projected with velocity u at an angle α from a point P on a horizontal plane strikes the plane at Q. The average velocity of the praticle for its journey from P to Q is-

The correct option is B ucosαLet the time of flight be tTotal displacement of the particle Sx=uxt∴ Sx=PQ=(ucosα)tThus average velocity vavg=Sxt=u cosα

A particle is projected with velocity $u$ at an angle $α$ from a point $P$ on a horizontal plane strikes the plane at $Q$ . The average velocity of the praticle for its journey from $P$ to $Q$ is-

The correct option is B $u c o s α$
Let the time of flight be $t$
Total displacement of the particle $S_{x} = u_{x} t$
$∴$ $S_{x} = P Q = (u c o s α) t$
Thus average velocity $v_{a v g} = \frac{S_{x}}{t} = u$ $c o s α$