A projectile is shot from the ground at an angle of #pi/8 # and a speed of #2 /3 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

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Answer 1 · 2017-03-16T11:37:55

THe distance is #=0.016m#

Solving in the vertical direction #uarr^+#

#u=u_0sintheta=2/3sin(1/8pi)#

#a=-g#

#v=0# at the maximum height

We apply the equation

#v=u+at#

#t=(v-u)/a=(0-2/3sin(1/8pi))/(-g)#

#=2/(3g)sin(1/8pi)=0.026s#

Time to reach the maximum height is #=0.026s#

Solving in the horizontal direction #->+#

distance #d=u_0tcos(1/8pi)=0.026*2/3*cos(1/8pi)#

#=0.016m#