Suppose the airplane in the preceding problem fires a projectile horizontally in its direction of motion at a speed of 300 m/s relative to the plane. (a) How far in front of the release point does the projectile hit the ground? (b) What is its speed when it hits the ground?

a) s = 5619.2 m

b) v = 456.5 m/s

Note: The preceding question is given below:

An airplane flying horizontally with a speed of 500 km/h at a height of 800 m drops a crate of supplies (see the following figure). If the parachute fails to open, how far in front of the  release point does the crate hit the ground?

Explanation:

From the preceding question;

height, h = 800 m,

speed of plane = 500 km/h = 500000 m / 3600 s = 139 m/s

Speed of projectile = 139 m/s + 300 m/s = 439 m/s

a) using h = ut + 1/2 * gt² = 1/2 gt² (sice u = 0)

t = √(2h/g) where g = 9.8 m/s²

t = √(2 * 800/9.8)

t = 12. 8 s

horizontal distance, s = horizontal velocity * time

s = 439 * 12.8

s = 5619.2 m

b) Final vertical velocity v₂ = u - gt

v₂ = 0 - 9.8 * 12.8 = 125.4 m/s

horizontal velocity, vₓ = 439.0 m/s

resultant velocity, v = √(v₁² + vₓ²)

v = √{(125.4)² + (439.0)²}

v = 456.5 m/s

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..