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Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v=sqrt (19.6h) If an object hits the ground with a velocity of 20.4 meters per second from what height was it dropped? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth. meters disappointed square

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Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second.
Then v=sqrt (19.6h) If an object hits the ground with a velocity of 20.4 meters per second from what height was it dropped?
Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth.
meters
disappointed
square

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v=sqrt (19.6h) If an object hits the ground with a velocity of 20.4 meters per second from what height was it dropped? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest tenth. meters disappointed square

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XanderElite · Tutor for 8 years

Answer

### 21.2 meters

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## Step 1: Identify the given formula and values<br />### We have \( v = \sqrt{19.6h} \) and \( v = 20.4 \).<br /><br />## Step 2: Substitute the given velocity into the formula<br />### Replace \( v \) with 20.4 to solve for \( h \).<br />\[<br />20.4 = \sqrt{19.6h}<br />\]<br /><br />## Step 3: Solve for \( h \)<br />### Square both sides to remove the square root.<br />\[<br />20.4^2 = 19.6h<br />\]<br />### Calculate \( 20.4^2 \).<br />\[<br />416.16 = 19.6h<br />\]<br /><br />## Step 4: Isolate \( h \)<br />### Divide both sides by 19.6 to find \( h \).<br />\[<br />h = \frac{416.16}{19.6} \approx 21.2357<br />\]<br /><br />## Step 5: Round the answer<br />### Round \( h \) to the nearest tenth.<br />\[<br />h \approx 21.2<br />\]
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