A projectile is shot from the ground at a velocity of #24 m/s# at an angle of #(5pi)/12#. How long will it take for the projectile to land?

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A projectile is shot from the ground at a velocity of #24 m/s# at an angle of #(5pi)/12#. How long will it take for the projectile to land?

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Answer 1 · 2016-02-08T16:37:28

#t=4,727 sec#
#x_m=29,383 meters#

Explanation:

#"elapsed time to land is: "t=2*v_i*sin theta/g#
#theta=(5cancel(pi))/cancel(12)* cancel(180)/cancel(pi)=#
#theta=5*15=75 ^o#
#t=(2*v_i*sin 75)/(9,81)#
#t=(2*24*0,966)/(9,81)#
#t=4,727 sec#
#x_m=v_i*cos 75 *t#
#x_m=24*0,259*4,727#
#x_m=29,383 meters#

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A projectile is shot from the ground at a velocity of #24 m/s# at an angle of #(5pi)/12#. How long will it take for the projectile to land?

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Explanation:

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