A projectile is shot at an angle of pi/6 and a velocity of 24 m/s. How far away will the projectile land?

1 Answer
Dec 30, 2015

The projectile will land 50.9m far.

Explanation:

Find the time t when the projectile lands, with the vertical equation s(y)=vt-1/2at^2=0; t=2v/g with v=vsin30°
So t(fall)=2.45m
Use this value in the horizontal equation to find the lenght of the motion:
s(x)=vt with v=vcos30° and t=t(fall)
s(t)=(vcos30°)*(t(fall))=50.9m