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3 years ago

Question 3

Mathematics

1 answer:

Galina-37 [17]3 years ago

5 0

(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².

(b) The time for the ball to hit the ground is 3.15 s.

<h3>Vertical motion equation for the ball</h3>

The vertical motion equation for the ball is calculated as follows;

h = h₀ + vt - ¹/₂gt²

h = 8 + 48t - ¹/₂(32)t²

h = 8 + 48t - 16t²

<h3>Time for the ball to hit the ground</h3>

0 = 8 + 48t - 16t²

solve the above quadratic equation with formula method;

a = -16, b = 48, c = 8

t = 3.15 s

<h3>Time for the ball to be 56 ft above the ground</h3>

let upward motion be positive

h = 8 + 48t + 16t²

56 = 8 + 48t + 16t²

0 = -48 + 48t + 16t²

solve the above quadratic equation with formula method;

a = 16, b = 48, c = -48

t = 0.79 s

Learn more about equation of motion here: brainly.com/question/25951773

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