SATHEE: Kinematics Question 594

Kinematics Question 594

Question: The coordinates of a particle moving in x-y plane at any instant of time t are $x = 4 t^{2}; y = 3 t^{2}$ . The speed of the particle at that instant is

Options:

A) 10 t

B)5 t

C) 3 t

D)2 t

Show Answer

Answer:

Correct Answer: A

Solution:

[a] According to the question, at any instant t,

$x = 4 t^{2}, y = 3 t^{2}$

$∴ v_{x} = \frac{d x}{d t} = \frac{d}{d t} (4 t^{2}) = 8 t$

and $v_{y} = \frac{d y}{d t} = \frac{d}{d t} (3 t^{2}) = 6 t$

The speed of the particle at instant t..

$v = \sqrt{v_{x}^{2} + v_{y^{2}}} = \sqrt{{(8 t)}^{2} + {(6 t)}^{2}} = 10 t$

Kinematics Question 594

Question: The coordinates of a particle moving in x-y plane at any instant of time t are $x = 4 t^{2}; y = 3 t^{2}$ . The speed of the particle at that instant is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Kinematics Question 594

Question: The coordinates of a particle moving in x-y plane at any instant of time t are x=4t2;y=3t2 . The speed of the particle at that instant is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: The coordinates of a particle moving in x-y plane at any instant of time t are $x = 4 t^{2}; y = 3 t^{2}$ . The speed of the particle at that instant is