Question

$\sf\implies\: the\: displacement\: of\: body\: varies\: with\: time\:\\\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ s\:=2\:+3t^{2}.\:\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ find\:velocity\: at\: t\:=\:2s$


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Answer 1

Answer:

Given: Displacement varies with time = 2 + 3t²

To Find: Velocity at t = 2 seconds

Velocity = dx / dt

⇒ Velocity = d ( 3t² + 2 ) / dt

⇒ Velocity = 2 × 3t = 6t   [ On differentiating 3t² ]

Now we are required to find value of Velocity at t = 2 seconds

Substituting t = 2 in the above equation we get,

⇒ Velocity = 2 × 3 ( 2 )

⇒ Velocity = 2 × 6 = 12 units per second

Hence the velocity of the object at t = 2 seconds is 12 units per second.