What distance does the box travel when dropped from the plane?

A plane is traveling at 500 meters of height at a velocity of 150m/s. When the plane drops a box from this height and speed, what is the distance the box travels? Neglect air resistance.





Honestly This was on a test today and I don't remember if its 1,500 or 15 meters.|||We will solve the following problem by resolve the projectile motion of the box into its vertical and horizontal components.





Vertical component of the box's projectile motion:


uyt+0.5at^2 = Sy


150sin0*t+0.5*9.8*t^2 = 500


4.9t^2 = 500


t = (+)√(500/4.9)


and ignore the negative sign of the solution.





Horizontal component of the box's projectile motion:


Range = U


= (Uh)*t


= {150*[√(500/4.9)]}m


= 1515.23m