1 multiple choice 0.5 points\nactivity 1 (projectile components).\nyou are told the initial velocity…

1 multiple choice 0.5 points\nactivity 1 (projectile components).\nyou are told the initial velocity components are $v_x = 10.0$ m/s and $v_y = 17.3$ m/s.\nwhat are the speed and the launch angle (measured above the +x direction)?\n$circ$ 10 m/s and $60^circ$\n$circ$ 20 m/s and $30^circ$\n$circ$ 17.3 m/s and $60^circ$\n$circ$ 20 m/s and $60^circ$

1 multiple choice 0.5 points\nactivity 1 (projectile components).\nyou are told the initial velocity components are $v_x = 10.0$ m/s and $v_y = 17.3$ m/s.\nwhat are the speed and the launch angle (measured above the +x direction)?\n$circ$ 10 m/s and $60^circ$\n$circ$ 20 m/s and $30^circ$\n$circ$ 17.3 m/s and $60^circ$\n$circ$ 20 m/s and $60^circ$

Answer

Explanation:

Step1: Calculate initial speed

$$v_i = \sqrt{v_x^2 + v_y^2} = \sqrt{(10.0)^2 + (17.3)^2} = \sqrt{100 + 299.29} = \sqrt{399.29} \approx 20.0 , \text{m/s}$$

Step2: Calculate launch angle

$$\theta = \arctan\left(\frac{v_y}{v_x}\right) = \arctan\left(\frac{17.3}{10.0}\right) = \arctan(1.73) \approx 60^\circ$$

Answer:

20 m/s and 60°