Question

The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by : 

• A. A
• B. B
• C. C
• D. D

Hint:

Slope of s-t graph gives velocity; slope of v-t graph gives acceleration. For constant $a$, the v-t graph must be a straight line.

Answer 1

The Correct Option is C

Step 1: Acceleration $a = \text{constant}$.
Step 2: Velocity $v = u + at$. Since $a$ is constant, $v$ is a linear function of $t$.
Step 3: Position $s = ut + \frac{1}{2}at^2$. This is a quadratic (parabolic) function of $t$.