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Field hockey. A scoop in field hockey is a pass that propels the ball from the ground into the air. Suppose a player makes a scoop with an upward velocity of 30 feet per second. The function $$ h=-16 t^2+30 t $$ models the altitude or height $h$ in feet at time $t$ in seconds. Will the ball ever reach a height of 16 feet?

   Field hockey. A scoop in field hockey is a pass that propels the ball from the ground into the air. Suppose a player makes a scoop with an upward velocity of 30 feet per second. The function

$$
h=-16 t^2+30 t
$$

models the altitude or height $h$ in feet at time $t$ in seconds. Will the ball ever reach a height of 16 feet?
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Precalculus: A Right Triangle Approach
Precalculus: A Right Triangle Approach
Ratti, McWaters,… 5th Edition
Chapter 3, Problem 98 ↓
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Field hockey. A scoop in field hockey is a pass that propels the ball from the ground into the air. Suppose a player makes a scoop with an upward velocity of 30 feet per second. The function $$ h=-16 t^2+30 t $$ models the altitude or height $h$ in feet at time $t$ in seconds. Will the ball ever reach a height of 16 feet?
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Sports For Exercises 92 and $93,$ use the formula $h=v t-16 t^{2},$ where $h$ is the height in feet that an object will attain (neglecting air resistance) in $t$ seconds, and $v$ is the initial velocity in feet per second. A baseball player hits a "Baltimore chop." meaning the ball bounces off home plate after the batter hits it. The ball leaves home plate with an initial upward velocity of $32 \mathrm{ft} / \mathrm{s} .$ How many seconds after the ball hits home plate will the ball be $16 \mathrm{ft}$ above the ground?

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Transcript

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00:01 A ball leaves home plate with an initial upward velocity of 32 feet per second.
00:06 So right here, this is 32 feet per second.
00:10 How many seconds after the ball hits home plate will the ball be 16 feet above the ground? so when will it reach a height of 16 feet? and this is what i don't know.
00:20 So substituting that, that means i have 16 equals 32 times t minus 16t squared...
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