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Q7. A projectile is thrown with a velocity of 10 ms⁻¹ at an angle of 30° with horizontal. The value of maximum height gained by it is *0/2(a) 1 m(b) 1.25 m(c) 2 m​

Answer»

<U>Given:

  • Angle of projection = 30°.

To Find:

  • Maximum height of projectile.

Solution:

We know that,

\star \: \boxed{\rm\red{Height \: of \: projectile \: = \:  \frac{ {u}^{2} {sin}^{2}  }{2g} }}

Substituting values,

\implies\bf{ \frac{ {(10)}^{2}  \times ( {sin30)}^{2} }{2 \times 9.8} }

\implies\bf{ \frac{100 \times 0.5 \times 0.5}{19.6} }

\implies\bf{ \frac{100 \times 0.25}{19.6} }

\implies\bf{\dfrac{\cancel{25}}{\cancel{19.6}}}

\sf\star \: \underbrace\green{Height \: of \: projectile \: = \: 1.275 \: m} \: \star

Hence,

  • Value of maximum height gained is 1.275m.


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