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Dovator [93]
4 years ago
9

A parachutist descending at a speed of 10.0 m/s loses a shoe at an altitude of 50.0 m.

Physics
1 answer:
stellarik [79]4 years ago
3 0

Answer:

The answer to your question is t = 2.33 s; vf = 32.87 m/s

Explanation:

Data

vo = 10 m/s

h = 50 m

t = ?

vf = ?

g = 9.81 m/s²

Formula

h = \frac{vo + vf}{2} t

h = vot + \frac{1}{2} at^{2}

a) Substitution

             50 = 10t + 1/2(9.81)t²

Simplification

             4.91t² + 10t - 50 = 0

Solve the equation using an online calculator

     t₁ = -4.33                t₂ = 2.33 s      

The correct answer is t₂, t₁ is not correct because there are not negative times.

       

b) vf² = vo² + 2gh

   vf² = 10² + 2(9.81)(50)

   vf² = 100 + 981

   vf² = 1081

   vf = √1081

   vf = 32.87 m/s

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