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Kyle throws a baseball straight up from a height of 4 feet with an initial speed of 30 feet per second. If Kyle doesn't catch the ball, when will the ball hit the ground? 1 second 2 seconds 8 seconds 3.621 seconds​

Sagot :

Boffeemadrididn

The time taken by the ball to hit the ground is required.

The time taken by the ball to hit the ground is 2 seconds.

Kinematics

u = Initial velocity = 30 feet per second

h = Initial height = 4 feet

t = Time taken

g = Acceleration due to gravity = [tex]-32\ \text{feet/s}^2[/tex]

From the equations of kinematic motion we get

[tex]0=h+ut+\dfrac{1}{2}gt^2\\\Rightarrow 0=4+30t+\dfrac{1}{2}(-32)t^2\\\Rightarrow -32t^2+60t+8=0\\\Rightarrow t=\dfrac{-60\pm \sqrt{60^2-4\left(-32\right)\times8}}{2\left(-32\right)}\\\Rightarrow t=-0.125,2[/tex]

Learn more about kinematics:

https://brainly.com/question/24714911

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