Question

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).
a. What is the roller coaster's speed after 3 seconds?
b. How far does it travel during that time?

Answer 1

Hope this helps you.

Answer 2

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

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

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

$d = 22.05 m$