In cricket a fielder is often placed at the boundary edge as shown - Edexcel - A-Level Physics - Question 17 - 2023 - Paper 1
Question 17
In cricket a fielder is often placed at the boundary edge as shown. If the fielder catches the ball, the batter is out.
The fielder is 5.0 m away from the batter. T... show full transcript
Worked Solution & Example Answer:In cricket a fielder is often placed at the boundary edge as shown - Edexcel - A-Level Physics - Question 17 - 2023 - Paper 1
Step 1
Calculate the horizontal and vertical components of the velocity
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Answer
To find the horizontal (
v_x
) and vertical (
v_y
) components of the initial velocity, we use:
Calculate the height of the ball at the time of flight
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Answer
Using the vertical motion formula:
$$y = v_y t - \frac{1}{2} g t^2$$
where \(g\) = 9.81 m/s²,
$$y = 18.3 \times 0.33 - \frac{1}{2} \times 9.81 \times (0.33)^2 \approx 6.0 \, m$$
Step 4
Assess whether the fielder can catch the ball
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Answer
Since the ball reaches a height of approximately 6.0 m, and the fielder can catch the ball only if it is less than 3 m above the height at which it was hit, we conclude:
