13.
\includegraphics[max width=\textwidth, alt={}]{eacf7695-44c4-4937-8e92-5b0df8ad5f70-34_328_1520_132_251}
A golfer hits a ball from a point \(A\) with a speed of \(25 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(15 ^ { \circ }\) above the horizontal. While the ball is in the air, it is modelled as a particle moving under the influence of gravity. Take the acceleration due to gravity to be \(10 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
The ball first lands at a point \(B\) which is 4 m below the level of \(A\) (see diagram).
- Determine the time taken for the ball to travel from \(A\) to \(B\).
- Determine the horizontal distance of \(B\) from \(A\).
- Determine the direction of motion of the ball 1.5 seconds after the golfer hits the ball.
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