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Consider a particular baseball player at bat. The height of the ball at time t can be modeled by h=-16t^2+v t+h. Here, v is the initial upward velocity of the ball, and h is the height at which the ball is hit. if a ball is 4 feet off the ground when it is hit with a negligible upward velocity close to 0 feet per second, when will the ball hit the ground?​

Consider a particular baseball player at bat The height of the ball at time t can be modeled by h16t2v th Here v is the initial upward velocity of the ball and class=


Answer :

LammettHash

Solve for [tex]t[/tex] when [tex]h=0[/tex], given [tex]v_0=0[/tex] and [tex]h_0 = 4[/tex].

[tex]0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12[/tex]

so it will take half a second for the ball to hit the ground.

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