| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2010 |
| Session | January |
| Marks | 14 |
| Paper | Download PDF ↗ |
| Topic | Projectiles |
| Type | Horizontal projection from height |
| Difficulty | Moderate -0.8 This is a standard M1 projectiles question with horizontal projection requiring straightforward application of SUVAT equations. Part (a) is a 'show that' using s=ut+½at² vertically, (b) uses constant horizontal velocity, (c) combines components with Pythagoras, (d) uses trigonometry, and (e) tests understanding of modelling assumptions. All parts follow routine procedures with no problem-solving insight required, making it easier than average. |
| Spec | 3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model |
7 A ball is projected horizontally with speed $\mathrm { V } \mathrm { m } \mathrm { s } ^ { - 1 }$ at a height of 5 metres above horizontal ground. When the ball has travelled a horizontal distance of 15 metres, it hits the ground.\\
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\begin{enumerate}[label=(\alph*)]
\item Show that the time it takes for the ball to travel to the point where it hits the ground is 1.01 seconds, correct to three significant figures.
\item Find $V$.
\item Find the speed of the ball when it hits the ground.
\item Find the angle between the velocity of the ball and the horizontal when the ball hits the ground. Give your answer to the nearest degree.
\item State two assumptions that you have made about the ball while it is moving.
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2010 Q7 [14]}}