Amissile is moving 1810 m/s at a 20.0 degree angle. it needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. what is the direction of the acceleration that the engine must produce?

79.1°

Explanation:

Given:

x₀ = 0 m

y₀ = 0 m

x = 19500 cos 32°

y = 19500 sin 32°

v₀x = 1810 cos 20°

v₀y = 1810 sin 20°

t = 9.20

Find:

ax, ay, θ

First, in the x direction:

x = x₀ + v₀ t + ½ at²

19500 cos 32° = 0 + (1810 cos 20°) (9.20) + ½ ax (9.20)²

16537 = 15648 + 42.32 ax

ax ≈ 21.01

And in the y direction:

y = y₀ + v₀ t + ½ at²

19500 sin 32° = 0 + (1810 sin 20°) (9.20) + ½ ay (9.20)²

10333 = 5695 + 42.32 ay

ay ≈ 109.6

The direction of the acceleration is therefore:

θ = atan(ay / ax)

θ = atan(109.6 / 21.01)

θ ≈ 79.1°

79.1°

Explanation:

A missile is moving 1810 m/s at a 20.0 degree angle. It needs to hit a target 19,500 m away in a 32 degree direction in 9.20 seconds. The direction of the acceleration that the engine must produce is 79.1°

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.

b. a lightning bug, plug of grass, and a worm