11. A baseball player running forward at 3 meters per second throws a ball with a velocity of 20 meters per second at an
angle of 20° with the horizontal. What is the resultant speed and direction of the throw?
(Show work)

22.8 m/s at 17.4°

Step-by-step explanation:

Horizontal component:vₓ = 3 + 20 cos 20° = 21.8Vertical component:vᵧ = 0 + 20 sin 20° = 6.84Magnitude:v² = vₓ² + vᵧ²v² = (21.8)² + (6.84)²v = 22.8 m/sDirection:θ = atan(vᵧ / vₓ)θ = atan(6.84 / 21.8)θ = 17.4°

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it has the same slope and a different y-intercept

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