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

Part a)

`v_f = 14.7 m/s`

Part b)

`d = 22.05 m`

Step-by-step 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 * 3`

`v_f = 14.7 m/s`

Part b)

Distance traveled by the roller coaster

`d = ((v_f + v_i)/(2))t`

`d = ((14.7 + 0)/(2))(3)`

`d = 22.05 m`