Solution to Test Paper 2

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| 1 (a)
| 1 (a)
| <math>\begin{align}
| <math>\begin{align}
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& 44.1=\frac{1}{2}\times 9.8{{t}^{2}} \\
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& 44 \ \textrm{.}1=\frac{1}{2}\times 9 \ \ 8{{t}^{2}} \\
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& t=\sqrt{\frac{44.1}{4.9}}=3\text{ s} \\
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& t=\sqrt{\frac{44 \textrm{.}1}{4 \textrm{.}9}}=3\text{ s} \\
\end{align}</math>
\end{align}</math>
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<math>\begin{align}
<math>\begin{align}
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& s=\frac{1}{2}\times 9.8\times {{3}^{2}}=44.1 \\
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& s=\frac{1}{2}\times 9 \textrm{.}8\times {{3}^{2}}=44 \textrm{.}1 \\
& \text{AG} \\
& \text{AG} \\
& \therefore \text{Hits ground after 3 seconds} \\
& \therefore \text{Hits ground after 3 seconds} \\
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| 1 (b)
| 1 (b)
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| <math>\begin{align}
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& {{v}^{2}}={{0}^{2}}+2\times 9 \textrm{.}8\times 44 \textrm{.}1 \\
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& v=\sqrt{864 \textrm{.}36}=29 \ \textrm{.}4\text{ m}{{\text{s}}^{-1}} \\
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\end{align}</math>
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OR
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<math>\begin{align}
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& v=0+9 \textrm{.}8\times 3 \\
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& v=29 \textrm{.}4 \text{ m}{{\text{s}}^{-1}} \\
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\end{align}</math>
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|M1
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A1
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A1
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| (3 marks)
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| M1: Use of constant acceleration equation with <math>v=0</math>
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A1: Correct equation.
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A1: Correct <math>v</math>.
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| Air resistance would slow the ball down.
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| B1
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| (1 mark)
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| B1: Sensible statement about air resistance.
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Revision as of 14:13, 19 January 2011

Solutions
1 (a) \displaystyle \begin{align}

& 44 \ \textrm{.}1=\frac{1}{2}\times 9 \ \ 8{{t}^{2}} \\ & t=\sqrt{\frac{44 \textrm{.}1}{4 \textrm{.}9}}=3\text{ s} \\ \end{align}

OR

\displaystyle \begin{align} & s=\frac{1}{2}\times 9 \textrm{.}8\times {{3}^{2}}=44 \textrm{.}1 \\ & \text{AG} \\ & \therefore \text{Hits ground after 3 seconds} \\ \end{align}



M1

A1

A1


(M1)

(A1)

(A1)


(3 marks) M1: Use of constant acceleration

equation with \displaystyle v=0

A1: Correct equation

A1: Correct \displaystyle s


1 (b) \displaystyle \begin{align}

& {{v}^{2}}={{0}^{2}}+2\times 9 \textrm{.}8\times 44 \textrm{.}1 \\ & v=\sqrt{864 \textrm{.}36}=29 \ \textrm{.}4\text{ m}{{\text{s}}^{-1}} \\ \end{align}

OR

\displaystyle \begin{align} & v=0+9 \textrm{.}8\times 3 \\ & v=29 \textrm{.}4 \text{ m}{{\text{s}}^{-1}} \\ \end{align}


M1

A1

A1


(3 marks)


M1: Use of constant acceleration equation with \displaystyle v=0

A1: Correct equation.

A1: Correct \displaystyle v.


1 (c) Air resistance would slow the ball down. B1 (1 mark) B1: Sensible statement about air resistance.
1 2 3 4 5
2 (a) 2 3 4 5
2 (b) 2 3 4 5
2 (c) 2 3 4 5
2 (d) 2 3 4 5
1 2 3 5
3 (a) 2 3 4 5
3 (b) 2 3 4 5
3 (c) 2 3 4 5
1 2 3 4 5
4 (a) 2 3 4 5
4 (b) 2 3 4 5
4 (c) 2 3 4 5
1 2 3 4 5
5 (a) 2 3 4 5
5 (b) 2 3 4 5
5 (c) 2 3 4 5


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