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Speed / Velocity Time Graphs

After 10 s ...

Question

After $10 s$ of the start of motion of both objects $A$ and $B$ , find the value of velocity of $A$ if $u_{A} = 6 m s^{- 1}, u_{B} = 12 m s^{- 1}$ and at $T$ velocity of $A$ is $8 m s^{- 1}$ and $T = 4 s$ .

12 m s^{- 1}

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10 m s^{- 1}

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15 m s^{- 1}

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None of these

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Solution

The correct option is D None of these
$S i n c e T i s 4 s, a c c e l e r a t i o n o f A i s \frac{8 - 6}{4} = 0.5 m / s^{2} a t t = 10 s v e l o c i t y o f A = u + a t = 6 + 0.5 \times 10 = 11 m / s$

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