v 1 x = 80 ⋅ cos 40 ° = 61.28 ( m / s ) v_{1x}=80\cdot \cos40°=61.28\ (m/s) v 1 x = 80 ⋅ cos 40° = 61.28 ( m / s )
v 1 y = 80 ⋅ sin 40 ° = 51.42 ( m / s ) v_{1y}=80\cdot \sin40°=51.42\ (m/s) v 1 y = 80 ⋅ sin 40° = 51.42 ( m / s )
v 2 x = 20 ⋅ cos 140 ° = − 15.32 ( m / s ) v_{2x}=20\cdot \cos140°=-15.32\ (m/s) v 2 x = 20 ⋅ cos 140° = − 15.32 ( m / s )
v 2 y = 20 ⋅ sin 140 ° = 12.86 ( m / s ) v_{2y}=20\cdot \sin140°=12.86\ (m/s) v 2 y = 20 ⋅ sin 140° = 12.86 ( m / s )
v x = 61.28 − 15.32 = 45.96 ( m / s ) v_x=61.28-15.32=45.96 \ (m/s) v x = 61.28 − 15.32 = 45.96 ( m / s )
v y = 51.42 + 12.86 = 64.28 ( m / s ) v_y=51.42+12.86=64.28 \ (m/s) v y = 51.42 + 12.86 = 64.28 ( m / s )
v = 45.9 6 2 + 64.2 8 2 = 79 ( m / s ) v=\sqrt{45.96^2+64.28^2}=79\ (m/s) v = 45.9 6 2 + 64.2 8 2 = 79 ( m / s )
α = tan − 1 64.28 45.96 = 54.43 ° \alpha=\tan^{-1}\frac{64.28}{45.96}=54.43° α = tan − 1 45.96 64.28 = 54.43°
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