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Standard XII

Physics

Uniform Circular Motion

If the partic...

Question

If the particle is moving along a straight line given by the relation $x = 2 - 3 t + 4 t^{3}$ where s is in cms., and t in sec. Its average velocity during the third sec is then

105 cm/s

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80 cm/s

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85 cm/s

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90 cm/s

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Solution

The correct option is A 105 cm/s
Displacement of particle is given by:

$x = 2 - 3 t + 4 t^{3}$

Velocity, $v = \frac{d x}{d t} = - 3 + 12 t^{2}$

At t = 3 s

$v = - 3 + 12 \times 9$

$v = 105 c m / s$ .

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If the particle is moving along a straight line given by the relation x=2−3t+4t3 where s is in cms., and t in sec. Its average velocity during the third sec is then

The correct option is A 105 cm/sDisplacement of particle is given by: x=2−3t+4t3 Velocity, v=dxdt=−3+12t2 At t = 3 s v=−3+12×9 v=105cm/s.

If the particle is moving along a straight line given by the relation $x = 2 - 3 t + 4 t^{3}$ where s is in cms., and t in sec. Its average velocity during the third sec is then

The correct option is A 105 cm/s
Displacement of particle is given by:

$x = 2 - 3 t + 4 t^{3}$

Velocity, $v = \frac{d x}{d t} = - 3 + 12 t^{2}$

At t = 3 s

$v = - 3 + 12 \times 9$

$v = 105 c m / s$ .