(Solved): A test rocket starting from rest at point \( A \) is launched by accelerating it along a \( 200.0 \ ...

A test rocket starting from rest at point \( A \) is launched by accelerating it along a \( 200.0 \mathrm{~m} \) incline at \( 6.70 \mathrm{~m} / \mathrm{s}^{2} \) (Figure 1). The incline rises at \( 35.0^{\circ} \) above the horizontal, and at the instant the rocket leaves it, the engines turn off and the rocket is subject to gravity only (ignore air resistance). Find the maximum height above the ground that the rocket reaches. Express your answer with the appropriate units. Find the rocket's horizontal range beyond point \( A \). Express your answer with the appropriate units.