The coordinates of a moving particle at any time are given by x - a-t-2 nbsp-and nbsp-y -b-t-2- The speed of the particle at any moment is nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp-

The correct option is C Velocity along X axis V_x = dx/dt = 2at Velocity along Y axis V_y nbsp;= dy/dt = 2bt Magnitude of velocity of the particle, nbsp; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Magnitude of Instantaneous Velocity

The coordinat...

Question

The coordinates of a moving particle at any time are given by $x = a t^{2}$ and $y = b t^{2}$ . The speed of the particle at any moment is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D

Velocity along X-axis $V_{x} = \frac{d x}{d t} = 2 a t$

Velocity along Y-axis $V_{y} = \frac{d y}{d t} = 2 b t$

Magnitude of velocity of the particle,

$v = \sqrt{v_{x}^{2} + v_{y}^{2}} = 2 t \sqrt{a^{2} + b^{2}}$

Suggest Corrections

Similar questions

The coordinates of a moving particle at any time are given by $x = a t^{2}$ and $y = b t^{2}$ . The speed of the particle at any moment is

Q. The coordinates of a moving particle at any time

t

are given by

x = a t^{2}

and

y = b t^{2}

. The speed of the particle is

Q. The coordinates of a moving particle at any time

t

are given by

x = α t^{3}

and

y = β t^{3}

. The speed of the particle at time

t

is given by :

Q. The coordinates of a moving particle at any time

t

are given by

x = c t^{2}

and

y = b t^{2}

. Then the speed of the particle is given by

Join BYJU'S Learning Program

The coordinates of a moving particle at any time are given by x=a t2 and y=b t2. The speed of the particle at any moment is

The correct option is D Velocity along X-axis Vx=dxdt=2at Velocity along Y-axis Vy=dydt=2bt Magnitude of velocity of the particle, v=√vx2+vy2=2t√a2+b2

The coordinates of a moving particle at any time are given by $x = a t^{2}$ and $y = b t^{2}$ . The speed of the particle at any moment is

The correct option is D

Velocity along X-axis $V_{x} = \frac{d x}{d t} = 2 a t$

Velocity along Y-axis $V_{y} = \frac{d y}{d t} = 2 b t$

Magnitude of velocity of the particle,

$v = \sqrt{v_{x}^{2} + v_{y}^{2}} = 2 t \sqrt{a^{2} + b^{2}}$