Question

The displacement \( x \) of a particle in a straight line motion is given by \( x = 1 - t - t^2 \). The correct representation of the motion is

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

For equations of motion with a negative quadratic term (\( t^2 \)), the displacement graph will be a downward parabola.

Answer 1

The Correct Option is B

The given displacement equation is: \[ x = 1 - t - t^2 \] This is a quadratic equation with a negative quadratic term, indicating that the displacement starts from a positive value and then decreases as time progresses, forming a downward parabola. The motion described by this equation is represented by the graph in option (B), which shows a downward curve. Therefore, the correct answer is (B).