If a projectile is shot at a velocity of #21 m/s# and an angle of #pi/4#, how far will the projectile travel before landing?

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Answer 1 · 2017-03-09T18:59:27

#"the answer "x_m"=44.95 " meters"#

#"we can calculate using the fallowing formula "#

#x_m=(v_i^2*sin(2alpha))/g#

#"Where :"#

#x_m :"maximum distance"#
#v_i="initial velocity "v_i=21 " "m/s#

#alpha=pi/4" , "2*alpha=2*pi/4=pi/2" , "sin (pi/2)=1#

#g:"gravitational acceleration " g=9.81" "N/(kg)#

#x_m=(21^2*1)/(9.81)#

#x_m=441/(9.81)#

#x_m=44.95 " meters"#