A car is under the influence of constant acceleration. You measure some aspect of its motion and you get the above graph, but forgot what you measured. The graph most likely depicts the cart's:
A
Position function x(t)
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B
Velocity function v(t)
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C
Acceleration function a(t)
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D
Jerk function dadt
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E
Not enough information
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Solution
The correct option is A Position function x(t) When a body moves with constant acceleration a and initial velocity u then the distance covered by the body at instant t is S=ut+12at2
Thus, the graph between distance S vs time t will be parabolic. Thus, the option A will be correct.