# Firing a Ball#

A ball fired vertically at speed $$v_1$$ reaches a maximum height $$h_1$$.

## Part 1#

At what speed must a second ball of the same mass be fired to reach the same maximal height if it is fired at an angle $$\theta=$$ 60$$^{\circ}$$ above the horizontal (as shown in the figure)? Assume air resistance is negligible.

• $$\frac{2v_1}{\sqrt{3}}$$

• $$\sqrt{2}v_1$$

• $$2v_1$$

• $$\frac{v_1}{2}$$

• $$v_1$$

• $$\frac{4v_1}{3}$$