6. A cricket ball is hit from a height of 0.8 m above horizontal ground with a speed of \(26 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle \(\alpha\) above the horizontal, where \(\tan \alpha = \frac { 5 } { 12 }\). The motion of the ball is modelled as that of a particle moving freely under gravity.
- Find, to 2 significant figures, the greatest height above the ground reached by the ball.
When the ball has travelled a horizontal distance of 36 m , it hits a window.
- Find, to 2 significant figures, the height above the ground at which the ball hits the window.
- State one physical factor which could be taken into account in any refinement of the model which would make it more realistic.
Figure 2