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AP Physics C: Mechanics
1.5 Motion in Two or Three Dimensions
1.2 Displacement, Velocity, and Acceleration
IntermediateMCQMathematicalConceptual19.5k
A horizontal solid line represents level ground with an origin labeled with a small open circle. From the origin, a solid curved parabolic trajectory opens downward, rising to a peak and descending symmetrically back to the ground. A single straight arrow points tangentially along the curve at the origin toward the upper-right at an angle labeled \(\theta_0\), with a label \(\vec{v}_0\) near the arrowhead. At the highest point of the parabolic curve, a single solid dot marks the apogee. Directly above this dot, the word Apogee is displayed in plain text. A vertical downward arrow labeled \(\vec{g}\) is placed to the right of the trajectory in open space. No other labels, lines, text, or axes appear.
Trajectory of a projectile launched at an angle \(\theta_0\) above the horizontal.
A projectile is launched over level ground with an initial speed \(v_0\) at an angle \(\theta_0\) above the horizontal, where \(0^\circ < \theta_0 < 90^\circ\). Air resistance is negligible, and the acceleration due to gravity has magnitude \(g\). At the apogee of its trajectory, what are the magnitude of the projectile's tangential acceleration, \(a_t\), and the magnitude of its normal acceleration, \(a_n\)?

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