Aroller coaster in the figure below starts at the top of a straight track that is inclined 30° with the horizontal. this causes it to accelerate at a rate of 4.9 m/s2 (1/2 g).

what is the roller coaster's speed after 5 s? in m/s.

(b) how far does it travel during that time?

24.5 m/s

61.3 m

Explanation:

Given:

v₀ = 0 m/s

a = 4.9 m/s²

t = 5 s

a) Find v.

v = at + v₀

v = (4.9 m/s²) (5 s) + 0 m/s

v = 24.5 m/s

b) Find Δx.

Δx = v₀ t + ½ at²

Δx = (0 m/s) (5 s) + ½ (4.9 m/s²) (5 s)²

Δx = 61.3 m

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.