Use $g = 9.8$ m s $^{-2}$ .

The points $A\,$ and $B\,$ lie 50 m apart on horizontal ground. At time $t = 0$ two balls, $P\,$ and $Q$ , are projected in the vertical plane containing $A\,$ and $B$ .

$P\,$ is projected from $A\,$ with speed 25 m s $^{-1}$ at an angle of $30°\,$ above the horizontal, towards $B$ .

$Q\,$ is projected from $B\,$ with speed $U\,$ m s $^{-1}$ at an angle $\theta\,$ above the horizontal, towards $A$ .

At time $t = 2$ the two balls collide.

Figure for question 8

Both balls are modelled as particles moving freely under gravity, with air resistance negligible.

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

Find the size of the angle $\theta\,$ and the value of $U$ .

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

Use $g = 9.8$ m s $^{-2}$ .

The points $A\,$ and $B\,$ lie 50 m apart on horizontal ground. At time $t = 0$ two balls, $P\,$ and $Q$ , are projected in the vertical plane containing $A\,$ and $B$ .

$P\,$ is projected from $A\,$ with speed 25 m s $^{-1}$ at an angle of $30°\,$ above the horizontal, towards $B$ .

$Q\,$ is projected from $B\,$ with speed $U\,$ m s $^{-1}$ at an angle $\theta\,$ above the horizontal, towards $A$ .

At time $t = 2$ the two balls collide.

Figure for question 8

Both balls are modelled as particles moving freely under gravity, with air resistance negligible.

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

Find the size of the angle $\theta\,$ and the value of $U$ .

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

4.8 Kinematics (A-level only)

Question 27

Markscheme

4.8 Kinematics (A-level only)

Question 27

Markscheme

4.8 Kinematics (A-level only)

Question 27

4.8 Kinematics (A-level only) Questions

4.8 Kinematics (A-level only)

Question 27

4.8 Kinematics (A-level only) Questions