Question

A ball is thrown vertically upward with a speed of 25.0 m/s from a height of 2.0 m.

Answer 1

Answer:

The answer to your question is

a) t = 2.55 s

b) t = 5.5 s

Explanation:

Data

vo = 25 m/s

h = 2 m

g = 9.81 m/s

Formula

t = -(vo)/g

a)

        t = -(25)/9.81

        t = 2.55 s

b)

        Tt = 2t

         Tt = 2(2.55)

         Tt = 5.1 s

Time in the last 10 m

         10 = 25t + (1/2)(9.81)t²

Simplify

          10 = 25t 4.91t²

          4.9t² + 25t - 10 = 0

Solve the equation using an online calculator

    t₁ = 0.37 s               t₂ = -5.47 s

The correct answer is t₁, t₂ is incorrect because there are no negative answers.

Total time = 5.1 + 0.37

                 = 5.5 s