The distance travelled by an object in time 't' is given by$$x = a + bt + ct^2$$​ . Identify ‘c’.

Correct option is B

The correct answer is: (b) Acceleration

Explanation:
The equation given is x=a+bt+ct2x = a + bt + ct^2x=a+bt+ct2​, which describes the displacement x of an object as a function of time t. In this equation:

• a represents the initial position.

• b represents the initial velocity.

• c is the coefficient that represents the acceleration of the object.

This is because the term ct2ct^2ct2​ is related to the displacement due to acceleration. In kinematic equations, displacement is typically expressed as a function of time squared, where the coefficient of t2t² is directly proportional to the acceleration.

Information Booster:

• Velocity and Acceleration: In motion equations, the velocity is the rate of change of displacement with time, and the acceleration is the rate of change of velocity with time. The coefficient b represents the initial velocity, and c is the acceleration.

• Kinematic Equation: The general form of the kinematic equation is $$x = x_0 + v_0t + \frac{1}{2}at^2,$$​where x0x_0 is the initial position, v0v_0v0​​ is the initial velocity, and aa is the acceleration. In this case, c$$\frac{1}{2}a$$​ plays the same role as in the standard kinematic equation.