an airplane flying horizontally @ speed 100m/s drops a box @ an elevation of 200m.how much time is required?.?

Question

how much time id required for the box to reach the earth?how far does it travel horizontally while falling?find the horizontal and vertical components of its velocity when it strikes the ground?

Answer 1

Issue One:
Assuming that the box is completely devoid of friction with the air, you would use the equation x(f) = x(i) + 0.5*a*t^2 or "final position is equal to the initial position + 0.5 times the acceleration times the time of the drop squared" Acelleration due to gravity is 9.8 meters per second squared

0 = -200 + 0.5*(9.8)*t^2
200 = 0.5*(9.8)*t^2
400 = (9.8)*t^2
40.8 = t^2
6.38 seconds = t
This is true rather the plane and box were initially standing still or moving at 300,000 meters per second

Issue Two:
Assuming (again) no air resistance, the box will be traveling at the same rate as the plane after being released so in the 6.38 seconds travels in the horizontal plane it will travel 100 meters for every one of the 6.38 second it travels or 638 meters

Issue Three:
We already know that the box is still traveling 100 m/s horizontally so the only missing part is the vertical velocity. This is solved using the formula v(f) = v(i) + at

v(f) = 0 [since it was dropped without force] + (9.8 m/s)(6.38)
v(f) = 62.5 m/s

Answer 2

Height, H = ½ g t^2.

t ^2 = 2H/g = 2 x200 /9.8 = 40.82

Time to reach the ground t = 6.38(876560) s = 6.4 s.

The distance traveled horizontally is the horizontal velocity x time of fall.

S = 100 x 6.38(87656) = 639 m .

The vertical ( component) final velocity is V = gt = 9.8 x 6.38(876560) = 62.60 m/s

Or from V ^2 = 2 g H = 3920 ; V = 62.6 m/s.

The horizontal component is the horizontal speed = 100 m/s.

Answer 3

that depends on the mass of the box.

Potential Energy= mass*velocity*gravitational pull* cos 0

cos 0 is zero because its on a flat plane.

I think the answer would be 2 seconds- because you said its 100meters per second and its at an elevation on 200m so it would only take 2 seconds.

Answer 4

What is the coefficient of friction of the air?

What size is the box? Is it same size in each direction (cube)?

Do we assume it is tumbling or stationary as it falls?

Answer 5

i've got laughed at why the fly on the wall is being so nosy. What the fly on the wal thinks of what I do,whilst the fly makes it fairly is existence by way of mountaineering on excrement and feeding on that's laughable in assessment.

Answer 6

2sec .... speed = distance / time
time= distance / speed
time= 200 / 100

Answer 7

a couple miles, and it's gonna kill somebody that it lands on