All questions
AP Physics C: Mechanics
1.5 Motion in Two or Three Dimensions
AdvancedMCQMathematical16k
A side view schematic shows a wedge-shaped incline rising from the lower left to the upper right. A horizontal baseline extends to the right from the bottom corner, with an angle arc labeled \(\phi\) between the baseline and the incline surface. An initial velocity vector arrow labeled \(v_0\) starts at the bottom corner and points upward and to the right at an angle \(\theta\) relative to the horizontal baseline. A dashed parabolic curve begins at the launch point, rises above the incline, and lands on the inclined surface. A straight dimension line parallel to the incline spans from the launch point to the landing impact point, labeled \(R\). No other labels, lines, text, or axes appear.
Projectile launched up an inclined plane of angle \(\phi\).
A projectile is launched from the base of a fixed incline that makes an angle \(\phi\) with the horizontal, where \(0 \le \phi < \dfrac{\pi}{2}\). The projectile is fired with an initial speed \(v_0\) at an angle \(\theta\) above the horizontal, where \(\phi < \theta < \dfrac{\pi}{2}\). Neglecting air resistance, which of the following expressions represents the maximum distance \(R_{\text{max}}\) the projectile can travel along the inclined surface, optimized over all possible launch angles \(\theta\)?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5