Three balls are launched simultaneously, as in the figure. The red ball is launched at an initial velocity ₀  directed at an angle u above the horizontal. The blue ball is launched vertically with a speed of 10.0 m/s, and the yellow ball is launched horizontally with a speed of 4.6 m/s. The blue and red balls reach identical maximum heights and return to the ground at the same time, and the red ball returns to the ground to meet the yellow ball at the same place along the horizontal.

Concepts:

(i) Since the blue and red balls reach the same maximum height, what can be said about the y components of their velocities?

(ii) Since the red and yellow balls travel equal distances along the x direction in the same amount of time, what can be said about the x components of their initial velocities? Calculations: Find the launch speed v0 and launch angle ( for the red ball.