JEE Main Physics question

A body is at rest at . At , it starts moving in the positive -direction with a constant acceleration. At the same instant another body passes through moving in the positive -direction with a constant speed. The position of the first body is given by after time '' and that of the second body by after the same time interval. Which of the following graphs correctly describes as a function of time '' [AIEEE 2008]

• (A)Monotonically increasing from the origin, concave up throughout
• (B)Monotonically increasing from the origin, concave down throughout
• (C)Starts at zero, dips negative to a minimum, then rises back through zero and continues increasingCorrect
• (D)Monotonically decreasing from the origin