SATHEE: Kinematics Question 562

Kinematics Question 562

Question: The coordinates of a moving particle at any time t are given by x = at3 and y = bt3.The speed of the particle at time t is given by[AIEEE 2003]

Options:

A) $\sqrt{α^{2} + β^{2}}$

B) $3 t \sqrt{α^{2} + β^{2}}$

C) $3 t^{2} \sqrt{α^{2} + β^{2}}$

D) $t^{2} \sqrt{α^{2} + β^{2}}$

Show Answer

Answer:

Correct Answer: C

Solution:

$x = α t^{3}$ and $y = β t^{3}$ (given) $v_{x} = \frac{d x}{d t} = 3 α t^{2}$

and $v_{y} = \frac{d y}{d t} = 3 β t^{2}$

Resultant velocity $= v = \sqrt{v_{x}^{2} + v_{y}^{2}} = 3 t^{2} \sqrt{α^{2} + β^{2}}$

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Kinematics Question 562

Question: The coordinates of a moving particle at any time t are given by x = at3 and y = bt3.The speed of the particle at time t is given by[AIEEE 2003]

Options:

Answer:

Solution:

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