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

glass has been rated on the mohs scale as 5.5

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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