A projectile is fired with an initial speed of 37.7 m/s at an angle of 41.2° above the horizontal on a long flat firing range. Determine the maximum height reached by the projectile.

Respuesta :

Answer:

h = 31.46 m

Explanation:

We have,

Initial speed of a projectile is 37.7 m/s

It was projected at an angle of 41.2° above the horizontal on a long flat firing range.

It is required to find the maximum height reached by the projectile. The formula used to find it is given by :

[tex]h=\dfrac{u^2\sin^2\theta}{2g}[/tex]

Plugging all the known values,

[tex]h=\dfrac{(37.7)^2\times \sin^2(41.2)}{2\times 9.8}\\\\h=31.46\ m[/tex]

So, the maximum height reached by the projectile is 31.46 m.

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