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Instantaneous Velocity

The motion of...

Question

The motion of a particle is described by the equation $x = a + b t^{2}$ where $a = 15 c m$ and $b = 3 c m s^{2}$ . Its instantaneous velocity at time $3 s$ will be

36 c m / s

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18 c m / s

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16 c m / s

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12 c m / s

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Solution

The correct option is B $18 c m / s$
The motion of the particle is described by the equation
$x = a + b t^{2}$
where, $a = 15 c m$
$b = 3 c m$
velocity, $v = \frac{d x}{d t}$
$v |_{t = 3 s e c} = 2 b t = 2 \times 3 \times 3$
$v |_{t = 3 s e c} = 18 c m / s$
The correct option is B.

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The motion of a particle is described by the equation x=a+bt2 where a=15cm and b=3cms2. Its instantaneous velocity at time 3s will be

The correct option is B 18cm/sThe motion of the particle is described by the equation x=a+bt2where, a=15cmb=3cmvelocity, v=dxdtv|t=3sec=2bt=2×3×3v|t=3sec=18cm/sThe correct option is B.

The motion of a particle is described by the equation $x = a + b t^{2}$ where $a = 15 c m$ and $b = 3 c m s^{2}$ . Its instantaneous velocity at time $3 s$ will be

The correct option is B $18 c m / s$
The motion of the particle is described by the equation
$x = a + b t^{2}$
where, $a = 15 c m$
$b = 3 c m$
velocity, $v = \frac{d x}{d t}$
$v |_{t = 3 s e c} = 2 b t = 2 \times 3 \times 3$
$v |_{t = 3 s e c} = 18 c m / s$
The correct option is B.