Question

A ball is thrown vertically upward with a speed of 25.0 m/s from a height of 2.0 m.
a. How long does it take the ball to reach its highest point?
b. How long is the ball in the air?
Show all of your work for these calculations.

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