Solution to Test Paper 2
From Mechanics
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
(A1) (A1)
| (3 marks) | M1: Use of constant acceleration
equation with \displaystyle v=0 A1: Correct equation A1: Correct \displaystyle s
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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.
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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 |
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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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