4.1 Kinematics (A-level only)

Medium Hard

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Question 54

The points $X\,$ and $Y\,$ lie 100 m apart on horizontal ground. At time $t = 0$ two balls, $M\,$ and $N$ , are projected from $X\,$ and $Y\,$ respectively. Ball $M\,$ is projected with speed 30 ms^-1 at an angle of $45^\circ\,$ to the horizontal. Ball $N\,$ is projected with speed $\text{ ms}^{-1}$ at an angle of $\phi\,$ to the horizontal. At time $t = 2.5$ , the balls collide in mid-air. Both balls are assumed to be particles in free flight.

Find the velocity of $M\,$ the instant before it collides with $N$ .

[6]

bi.

Find the size of angle $ϕ\phi$ .

[6]

bii.

Find the value of $U$ .

[6]

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

[1]

4.1 Kinematics (A-level only) Questions

A Level
Maths
4.1 Kinematics (A-level only)

A Level
Maths CCEA
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