Explanation
Step 1-Equation of distance and time
Relationship between distance and time is linear. So, its equation will be in form of:
D=kt, where k is any constant, D is distance and t is time.
Step 2-Calculation of velocity
On differentiating this equation with respect to time, at left hand side it will be speed as differentiation of distance with respect to time ..
V=k
So, speed for the given graph is constant or uniform.
Answer:
Hence, option A is the correct answer.
Hint: Use kinematics equation of motion
Step1:Relation between velocity and distance is
\mathrm{v}^{2}=\mathrm{u}^{2}+2 \mathrm{aS}
If the final velocity is Zero then the relation will become
\mathrm{u}=\sqrt{2 \mathrm{a} \mathrm{S}}
Now if we want to multiply the velocity \mathbf{3} time then we have to multiply the distance \boldsymbol{9} time to make the equation balanced.
\textbf{Hence option C correct}
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