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Short answer

5.0 s

Long answer

From the question the following information is known

a = -9.8 m/s2

vi = 0 m/s

vf = -49 m/s

ti = 0 s

using the formula

a = Δv/Δt

since initial velocity/time = 0

a = vf/tf

solve for t (multiply both sides by t and divide both sides by a)

tf = vf/a

tf = (-49 m/s)/(-9.8 m/s2) = 5.0 s

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Q: Falling objectsdrop with an average acceleration of 9.8 m s2 if an object falls from a tall building how long will it take before it reaches a speed of 49 m sec?
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