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A roller coaster starts at the top of a straight track that is inclined at 30degrees with the horizontal. This causes it to accelerate at a rate of 4.9m/s^2(1/2g).

AWhat is the roller coaster's speed after 3 seconds?
BHow far does it travel during that time?

Verified Answer :

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Answer:

Part a)

\(v_f = 14.7 m/s\)

Part b)

\(d = 22.05 m\)

Explanation:

Part a)

Initial speed of the roller coaster

\(v_i = 0\)

acceleration of the roller coaster is given as

\(a = 4.9 m/s^2\)

now for the speed after 3 s is given as

\(v_f = v_i + at\)

\(v_f = 0 + 4.9 \times 3\)

\(v_f = 14.7 m/s\)

Part b)

Distance traveled by the roller coaster

\(d = (\frac{v_f + v_i}{2})t\)

\(d = (\frac{14.7 + 0}{2})(3)\)

\(d = 22.05 m\)

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