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a.) A roller coaster car starts going down a hill from rest. It accelerates at 4

ID: 1576512 • Letter: A

Question

a.) A roller coaster car starts going down a hill from rest. It accelerates at 4.0 m/s^2. If it is on the hill for 6.0 s, how fast (in m/s) is it going at the bottom of the hill? b.) How long (in m) is the hill in the previous problem? a.) A roller coaster car starts going down a hill from rest. It accelerates at 4.0 m/s^2. If it is on the hill for 6.0 s, how fast (in m/s) is it going at the bottom of the hill? b.) How long (in m) is the hill in the previous problem? b.) How long (in m) is the hill in the previous problem?

Explanation / Answer

a)

vi = 0 m/s

a = 4.0 m/s^2

t = 6.0 s

use:

vf = vi + a*t

= 0 + 4.0*6.0

= 24 m/s

Answer: 24 m/s

b)

use:

d = vi*t + 0.5*a*t^2

= 0 + 0.5*4.0*(6.0)^2

= 72 m

Answer: 72 m