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Hugo lies on top of a building, throwing pennies straight down to the
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07 Jan 2023, 15:10
07 Jan 2023, 15:10
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Hugo lies on top of a building, throwing pennies straight down to the street below. The formula for the height in meters, H, that a penny falls is \(H = Vt + 5t^2\), where V is the original velocity of the penny (how fast Hugo throws it as it leaves his hand in meters per second) and t is equal to the time it takes to hit the ground in seconds. The building is 60 meters high, and Hugo throws the penny down at an initial speed of 20 meters per second. How long does it take for the penny to hit the ground?
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t=2
Re: Hugo lies on top of a building, throwing pennies straight down to the
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15 Jan 2023, 02:03
15 Jan 2023, 02:03
Expert Reply
\(H = Vt + 5t^2\)
It is just a matter of substitution
\(60 = 20t + 5t^2\)
\(0=-60 + 20t + 5t^2\)
solving the quadratic equation
t=-6 or t=2
Disregard the negative value
t=2
It is just a matter of substitution
\(60 = 20t + 5t^2\)
\(0=-60 + 20t + 5t^2\)
solving the quadratic equation
t=-6 or t=2
Disregard the negative value
t=2
gmatclubot
Re: Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
15 Jan 2023, 02:03
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