3.3.5 Solve simple projectile problems (A-level only)

Medium Hard

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Question 4

The points $A\,$ and $B\,$ lie 120 m apart on horizontal ground. At time $t = 0$ two projectiles, $P\,$ and $Q$ , are launched from the points $A\,$ and $B$ . Projectile $P\,$ is launched with speed 40 ms^-1 at an angle of $30^\circ\,$ to the horizontal. Projectile $Q\,$ is launched with speed $\text{ ms}^{-1}$ at an angle of $\theta\,$ to the horizontal. At time $t = 3$ , $P\,$ and $Q\,$ collide. Both projectiles are modelled as particles moving freely under gravity.

Find the velocity of $P\,$ the instant before it collides with $Q$ .

[6]

bi.

Find the size of angle $θ\theta$ .

[6]

bii.

Find the value of $U$ .

[6]

State one limitation of the model that could affect the accuracy of your answers.

[1]

3.3.5 Solve simple projectile problems (A-level only) Questions

A Level
Maths
3.3.5 Solve simple projectile problems (A-level only)

A Level
Maths OCR (MEI)
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