physics test redo----please help!?

Question

A helicopter is travleing at 40 m/s at a constant altitude of 100 m over a levle feild. If a wheel falls off the helicopter, w/ what speed will it hit the ground?
-40 m/s
-50m/s
or
-60 m/s

Answer 1

Oldfolk did a good job, but he failed to realize that the wheel will hit the ground with both the horizontal velocity, which is constant, plus the vertical velocity based on the fall. Let's redo his calculations

Vx =40 m/sec is the horizontal velocity
100 m is the vertical height
Vyf ² = Vyo ² + 2gh
Vyf = final Velocity in y direction
Vyo initial Velocity in y direction
g = gravity 9.8 m/s ²
h = Height
Vyf ² = 0 + 2 ( 9.8) ( 100 )
Vyf ² = 1960
Vyf = √1960
Vyf = 44.27 m/s
Vfinal =sqr (Vx^2 + Vy^2)
Vfinal=sqr (40^2 +44.27^2)
=59.66 m/sec

As an add on, if you use round g to =10m/sec^2, the answer comes out to be exactly 60

Answer 2

Look at this formula
40 m/s is horizontal velocity and has no effect on vertical motion
100 m is the vertical height
Vf ² = Vo ² + 2gh
Vf = final Velocity
Vo initial Velocity
g = gravity 9.8 m/s ²
h = Height
Vf ² = 0 + 2 ( 9.8) ( 100 )
Vf ² = 1960
Vf = √1960
Vf = 44.27 m/s

Answer 3

-40 m/s direction in the x is constant through out the trajectory

the question is sketchy on details.

Answer 4

its gonna accelerate, a lot
60m/s definently