physics

posted by .

an object falls from a plane flying horizontally at an altitude of 40,000 ft at 500 mi/h. How long will it take to hit the ground?

• physics -

At 40,000 ft. air resistance becomes important, as the object will likely reach terminal velocity and greatly increases the time it takes to reach the ground. Also, the horizontal velocity comes into play as the terminal velocity caused by air resistance is actually a terminal speed, so it's the resultant that counts.

The shape of the object is not specified, so any calculation of the terminal velocity remains an estimate with assumptions.

If you have not done air-resistance and terminal velocities, read on.

Neglecting air resistance, the horizontal velocity of the plane does not count, and you can calculate the time required as if it were a free fall over short distances.

Let
vi=initial velocity (0)
t=time in seconds,
g=acceleration due to gravity, 32.2 f/s^2
S=vertical distance travelled = 40,000 ft

S=vi*t+(1/2)gt^2
40000=0*t + (1/2)*32.2*t^2
Solve for t to get:
t^2=2*40000/32.2=2484.47
t=50 sec. approx.
(remember: this is by ignoring air-resitance)

• physics -

87.9s

Similar Questions

1. Physics

I really would like to give some work on this problem, but I have no idea how to do it! Please help! An airplane is dropping bales of hay to cattle stranded in a blizzard on the Great Plains. The pilot releases the bales at 120 m above …
2. physics

An object is thrown vertically upward with a speed of 19.1 m/s. How high does it rise?
3. Physics

1. A rescue plane flying horizontally at an altitude of 500 m and velocity of 300 m\s east drops a food supply packet to plane crash survivors on the ground. The packet falls freely to the ground without a parachute. Assume that the …
4. Physics

A cargo plane is flying horizontally at an altitude of 10000m with a velocity of 800km/h when a cargo pallet falls out the back ramp. (i) How long does it take to fall to the ground?
5. NS 2

An object falls from a plane flying horizontally at an attitude of 40,000 ft. at 500 ml/hr. How long will take hit the ground?
6. Physics

A cargo plane is flying horizontally at an altitude of 11.2 km with a constant speed of 1260 km/hr when a large crate slides out of the rear of the plane. How long does it take the crate to hit the ground?
7. physics

an object falls directly from a plane flying horizontally at an altitude of 10000ft at 50mi/h. how long will it take to hit the ground?
8. physics

A hang glider pilot is flying horizontally over an open field when her shoe falls off. She was going 23.0 m/s and was 81.0 m above the ground. How long did it take for the shoe to hit the ground?
9. physics

An enemy plane is flying horizontally at an altitude of 2.0km with a speed of 340m/s.An army man with anti-craft gun on the ground sight the enemy with a muzzle speed at 60m/s .when the enemy plane is directly overhead.find a)at what …
10. physics

an enemy plane is flying horizontally at an altitude of 2.0Km,with a speed of 3.0m/s.an army man with a gun on the ground sights the enemy plane and fires a shell with a muzzle speed of 600m/s when d plane Is directly overhead.at what …

More Similar Questions