A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is α $$=$$ $$30$$°, the angle of the barrel to the horizontal β$$=$$ $$60$$°. The initial velocity v of the shell is $$21$$ $$m/s$$. Then, the distance of point from the gun at which shell falls is

Question

A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is α $$=$$ $$30$$°, the angle of the barrel to the horizontal  β$$=$$ $$60$$°. The initial velocity v of the shell is $$21$$ $$m/s$$. Then, the distance of point from the gun at which shell falls is

Infinity Learn · Accepted Answer

Here, u $$=$$ $$21$$ $$m/s$$, α$$=30$$°,θ$$=$$β−α$$=60$$°−$$30$$°$$=30$$°Maximum range $$R=2u2gsin$$ θ $$cos$$ θ$$+$$α$$cos2$$α$$=2$$×$$212$$×$$sin$$ $$30$$°$$cos$$ $$60$$°$$9.8$$×$$cos230$$°$$=30$$ m

A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is $α$ = 30°, the angle of the barrel to the horizontal $β$ = 60°. The initial velocity v of the shell is 21 m/s. Then, the distance of point from the gun at which shell falls is

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A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is α = 30°, the angle of the barrel to the horizontal β= 60°. The initial velocity v of the shell is 21 m/s. Then, the distance of point from the gun at which shell falls is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is $α$ = 30°, the angle of the barrel to the horizontal $β$ = 60°. The initial velocity v of the shell is 21 m/s. Then, the distance of point from the gun at which shell falls is