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Velocity-Time Graphs & Acceleration

2. 1D Motion / Kinematics / Velocity-Time Graphs & Acceleration / Problem 3

A sphere undergoes one-dimensional motion along a horizontal path. The sphere's velocity as a function of time is shown in the figure below. The sphere is located at time t=0 s at y₀ = 3 cm. Find the position, velocity, and acceleration of the sphere at t = 2 s.

A

y (2s) = 5 cm
v_y (2s) = 1 cm/s
a_y (2s) = 1 cm/s²

B

y (2s) = 3 cm
v_y (2s) = 3 cm/s
a_y (2s) = 0 cm/s²

C

y (2s) = 5 cm
v_y (2s) = 1 cm/s
a_y (2s) = 0 cm/s²

D

y (2s) = 6 cm
v_y (2s) = 3cm/s
a_y (2s) = 1 cm/s²

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