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Problem:

James is riding the giant drop at Great America. If Upton free falls for 2.60 seconds, what will be his final velocity and how far will he fall?

Given Data:

Vi (initial velocity)  =  0 m/s (at top)

Vf (final velocity) = unknown

t (time) =  2.60 seconds

a (acceleration) = 9.8 m/s²

Solution:

a= Vf-Vi/t, to solve Vf, we can use  Vf = at +Vi

Vf = at +Vi

    = 9.8 m/s² × 2.60 s + 0 m/s

    = 25.48 m/s + 0 m/s

    = 25.48 m/s

Solving for distance:

d = (Vf + Vi) / 2 × t

  = 25.48 m/s / 2 × 2.60 s

  = 33.124 m

Answer:

Final velocity is  25.48 m/s

Distance = 33.124 m