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Degree of Freedom

a shot is fir...

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a shot is fired at an angle θ to the horizontal such that it strikes the hill while moving horizontally .find the initial angle of projection

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A shot is fired at an angle to the horizontal such that it strikes the hill while moving horizontally. Find initial angle of projection.

Q. A shot is fired at an angle

θ

to the horizontal such that it strikes the hill while moving horizontally. If tan

θ = \frac{x}{2}

, find the value of x.

[G i v e n s i n 37^{\circ} = \frac{3}{5}]

Q. A projectile shot at an angle of

45^{o}

above the horizontal strikes the wall of a building

30 m

away at a point

15 m

above the point of projection. Initial velocity of the projectile is
(take

g = 9.8 m / s^{2}

)

Q. A shot fired from a gun with a speed of

V

θ

strikes an object at a point P on the horizontal plane through the point of projection. lf the object at P starts to move away from the gun with uniform acceleration a when the gun is fired, then the elevation is to be changed to

ϕ

in order to strike the moving object.

\frac{g}{a} = (\frac{1 - c o s n ϕ}{s i n n ϕ - s i n n θ})

n

.

Q. A tank moves uniformly along

x

-axis. It fires a shot from origin at an angle of

30^{\circ}

with horizontal while moving along positive

x

-axis and the second shot is also fired similarly except that the tank moves along negative

x

-axis. If the respective range of the shot are

250 m

210 m

x

-axis, then the speed with which the shot is fired is:

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