If a projectile is shot at a velocity of #4 m/s# and an angle of #pi/3#, how far will the projectile travel before landing?

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Answer 1 · 2017-05-07T06:53:12

The distance is #=1.41m#

Resolving in the vertical direction #uarr^+#

initial velocity is #u_y=vsintheta=4*sin(1/3pi)#

At the maximum height, #v=0#

We apply the equation of motion

#v=u+at#

to calculate the time to reach the greatest height

#0=4sin(1/3pi)-g*t#

#t=4/g*sin(1/3pi)#

#=0.352s#

Resolving in the horizontal direction #rarr^+#

To find the distance where the projectile will land, we apply the equation of motion

#s=u_x*2t#

#=4cos(1/3pi)*0.352*2#

#=1.41m#