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AP Physics C: Mechanics
1.3 Representing Motion
1.2 Displacement, Velocity, and Acceleration
AdvancedMCQMathematical23.2k
A Cartesian coordinate plane with horizontal axis labeled t (s) and vertical axis labeled a (m/s^2). The horizontal axis has tick marks and integer labels at 0, 1, 2, 3, 4, 5, and 6. The vertical axis has tick marks and labels at -10, -5, 0, 5, 10, and 15. Light gray gridlines extend across the plot at each marked tick. A solid black line starts at coordinate (0, 15) and slopes downward linearly to coordinate (2, 0). A vertical dashed line connects coordinate (2, 0) downward to coordinate (2, -10). Starting at coordinate (2, -10), a solid horizontal black line extends to the right to coordinate (6, -10). No other labels, lines, text, or axes appear.
Vertical acceleration vs. time for the rocket.
A small sounding rocket is launched vertically from rest at the ground (y = 0) at time t = 0. The rocket's net vertical acceleration a(t) is measured and plotted in the graph shown. At t = 2.0 \text{ s}, the engine shuts off and the acceleration drops discontinuously to -10 \text{ m/s}^2, remaining constant thereafter until impact. At what time t does the rocket return to the ground?

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