Question

A roller 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?

Answer 1

24.5 m/s

61.3 m

Step-by-step 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