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Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat

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Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat [#permalink] New post   06 Mar 2021, 05:11
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Height \(h\) (in meters) of a ball thrown upwards is given by equation \(h = -3(t - 6)^2 + 108\)

Quantity A
Quantity B
Height of ball 3.5 seconds after it was launched
Height of ball 2 seconds after it reaches maximum height


(A) Quantity A is greater
(B) Quantity B is greater
(C) The two quantities are equal
(D) The relationship cannot be determined from the information given
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B
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Re: Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat [#permalink] New post   06 Mar 2021, 23:31
2
OA Explanation

\(h = -3(t - 6)^2 + 108\)
x-coordinates of the vertex of parabola is \(6\)
y-coordinate of the vertex of parabola (Max. point) is \(108\)

Col. A: Value of \(y\) when \(x = 3.5\)
Col. B: Value of \(y\) when \(x = (6 + 2) = 8\)

Col. A: \(89.25\)
Col. B: \(96\)

Hence, option B
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Re: Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat [#permalink] New post   11 Mar 2021, 02:43
x value is substitute at t,right?
for QB,
h=-3(2-6)^2+108= -3*(-4)^2+108=-3*16+108=60....
how your QB h=96?
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Re: Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat [#permalink] New post   11 Mar 2021, 02:47
void wrote:
x value is substitute at t,right?
for QB,
h=-3(2-6)^2+108= -3*(-4)^2+108=-3*16+108=60....
how your QB h=96?


It says height \(2\) seconds after it reaches maximum height!
Since it reaches maximum height at \(6\) seconds, so \(2\) seconds later would be \((6 + 2) = 8\) seconds
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Re: Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat [#permalink] New post   11 Mar 2021, 02:51
sorry my bad , i was careless!!!
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Re: Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat [#permalink] New post   18 Mar 2022, 15:37
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Height [m]h[/m] (in meters) of a ball thrown upwards is given by equat [#permalink]
18 Mar 2022, 15:37
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