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Given:
[tex]d_{y} = \displaystyle \frac{(v_{i} \sin \theta)^{2}}{2g}[/tex]
[tex]d_{y} = \displaystyle \frac{(24.67 \: m/s \times \sin 20^{\circ})^{2}}{2(9.8 m/s^{2})}[/tex]
[tex]d_{y} = \displaystyle \tt 3.63 \: m[/tex]
Answer: [tex] \large \sf \bold{ \blue{3.63 \: m}}[/tex]
[tex]t = \displaystyle \frac{2v_{i} \sin \theta}{g}[/tex]
[tex]t = \displaystyle \frac{2(24.67 \: m/s) \sin 20^{\circ}}{9.8 m/s^{2}}[/tex]
[tex]t = \displaystyle \tt 1.72 \: s[/tex]
Answer: [tex] \large \sf \bold{ \blue{1.72 \: s}}[/tex]
[tex]R = \displaystyle \frac{v_{i}\:^{2} \sin2 \theta}{g}[/tex]
[tex]R = \displaystyle \frac{(24.67 \: m/s)^{2} \sin 40^{\circ}}{9.8 m/s^{2}}[/tex]
[tex]R = \displaystyle \tt 39.92 \: m[/tex]
Answer: [tex] \large \sf \bold{ \blue{39.92 \: m}}[/tex]
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