Question

Velocity-time graph $AB$ (Figure) shows that the body has

• A. A uniform acceleration
• B. A non-uniform retardation
• C. Uniform speed
• D. Initial velocity $OA$ and is moving with uniform retardation

Answer 1

The correct option is D Initial velocity $OA$ and is moving with uniform retardation

Given $v-t$ curve $OA=$ initial velocity as $t=0$at that time

Now, acceleration $\left(a\right)=\frac{dv}{dt}$ (slope of $v-t$ curve)

$\Rightarrow \tan \theta =\frac{OA}{OB}=a$

Hence acceleration of body is constant as velocity goes on decreasing with time

Hence appropriate answer is initial velocity $=OA$ & acceleration is uniform retarding.