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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 26.7 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

Question

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 26.7 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 26.7 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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YancyMaster · Tutor for 5 years

Answer

To get the h (height), we do (26.7)^2 / 19.6 = 36.3 which is the square of the velocity divided by the gravitational acceleration. Answer should be carried to four decimal places and rounded to 36.3m as the final approximate single decimal place value.

Explain

This problem involves manipulating values within the equation v = √19.6h to solve for the height an object was dropped from, given the known landing velocity. <br /><br />From the context of the question, we know that v= 26.7 m/s. Inserting this into the formula, we would have to isolate the variable h by squaring both sides:<br /><br />v² = 19.6h <br /><br />Solving for h, can be represented this way:<br /><br />h = v² / 19.6. <br /><br />Plugging in the velocity,or v = 26.7 m/s into the formula h = v² / 19.6, we have <br /><br />h = (26.7)² / 19.6 <br /><br />By carrying out the operations on the right hand side we can solve influence of gravitational acceleration on determining from height in which objects fall.
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