Answer:
C. 45
Explanation:
Took the quiz and got it right
The angled club that should be use to hit the ball is 45°
The correct answer to the question is Option C. 45
From the question given above, the following data were obtained:
Range (R) = 40.8 m
Initial velocity (u) = 20 m/s
Acceleration due to gravity (g) = 9.8 m/s²
The angle required can be obtained as follow:
[tex]range = \frac{ {u}^{2} sine 2\theta}{g} \\ \\40.8 = \frac{ {20}^{2}sine 2\theta }{9.8} \\ \\40.8 = \frac{ 400sine 2\theta }{9.8} \\ \\ cross \: multiply \\ \\ 400sine 2\theta = 40.8 \times 9.8 \\ \\ 400sine 2\theta = 399.84 \\ \\ divide \: both \: side \: by \: 400 \\ \\ sine 2\theta = \frac{399.84}{400} \\ \\ sine 2\theta = 1 \\ \\ take \: the \: inverse \: of \: sine \\ \\ 2\theta = {sine}^{ - 1} 1 \\ \\ 2\theta =90 \\ \\ divide \: both \: side \: by \: 2 \\ \\ \theta = \frac{90}{2} \\ \\ [/tex]
Therefore, the angle required is 45°
The correct answer to the question is Option C. 45
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