If the velocity of a particle moving on x-axis is given by $\mathrm{v}=3{\mathrm{t}}^{2}-12\mathrm{t}+6$. At which time is the acceleration of particle zero?

(A)  $2$ sec

(B)  $2+\sqrt{2}$ sec

(C)  $2-\sqrt{2}$ sec

(D)  zero

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Momentum of a body moving in a straight line is . Find the force acting on a body at t=2 sec

(A)  6 N

(B)  8 N

(C)  4 N

(D)  2 N

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle moves along straight line such that at time t its position from a fixed point O on the line is $\mathrm{x}=3{\mathrm{t}}^{2}-2$. The velocity of the particle when t=2 is:

(A)

(B)

(C)

(D)  $0$

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Coordinates of a moving particle are given by $\mathrm{x}={\mathrm{ct}}^{2}$ and $\mathrm{y}={\mathrm{bt}}^{2}$. The speed of the particle is given by

(A)

(B)

(C)

(D)

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The x and y components of vector $\stackrel{\to }{\mathrm{A}}$ are 4m and 6m respectively. The x, y components of vector $\stackrel{\to }{\mathrm{A}}+\stackrel{\to }{\mathrm{B}}$ are 10m and 9m respectively. The length of $\stackrel{\to }{\mathrm{B}}$ is ______ and angle that $\stackrel{\to }{\mathrm{B}}$ makes with the x axis is given by _______.

(A)

(B)

(C)

(D)

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle travels with speed 50 m/s from the point (3, 7) in a direction $7\stackrel{^}{\mathrm{i}}-24\stackrel{^}{\mathrm{j}}$. Find its position vector after 3 seconds.

(A)  $151\stackrel{^}{\mathrm{i}}+45\stackrel{^}{\mathrm{j}}$

(B)  $45\stackrel{^}{\mathrm{i}}-137\stackrel{^}{\mathrm{j}}$

(C)  $151\stackrel{^}{\mathrm{i}}+45\stackrel{^}{\mathrm{j}}$

(D)  $4.5\stackrel{^}{\mathrm{i}}-151\stackrel{^}{\mathrm{j}}$

Concept Questions :-

Resultant of Vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If  . Find component of $\stackrel{\to }{\mathrm{A}}$ along $\stackrel{\to }{\mathrm{B}}$ & perpendicular to $\stackrel{\to }{\mathrm{B}}$.

1.

2.

3.

4.

Concept Questions :-

Resolution of vectors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If $\stackrel{\to }{\mathrm{a}}$ is a vector and x is a non-zero scalar, then

(A) xa is a vector in the direction of $\stackrel{\to }{\mathrm{a}}$

(B)  xa is a vector collinear to $\stackrel{\to }{\mathrm{a}}$

(C)  xa and $\stackrel{\to }{\mathrm{a}}$ have independent directions

(D)  xa is a vector perpendicular to $\stackrel{\to }{\mathrm{a}}$

Concept Questions :-

Scalar Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A vector that is perpendicular to both the vectors $\stackrel{\to }{\mathrm{a}}=\stackrel{^}{\mathrm{i}}-2\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$ and $\stackrel{\to }{\mathrm{b}}=\stackrel{^}{\mathrm{i}}-\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$ is

(A)  $-\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{k}}$

(B)  $-\stackrel{^}{\mathrm{i}}-2\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$

(C)  $\stackrel{^}{\mathrm{i}}-2\stackrel{^}{\mathrm{j}}+\stackrel{^}{\mathrm{k}}$

(D)  $\stackrel{^}{\mathrm{i}}+\stackrel{^}{\mathrm{k}}$

Concept Questions :-

Scalar Product
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If $\mathrm{\theta }$ is the angle between vectors $\stackrel{\to }{\mathrm{a}}$ and $\stackrel{\to }{\mathrm{b}}$, and $|\stackrel{\to }{\mathrm{a}}×\stackrel{\to }{\mathrm{b}}|=\stackrel{\to }{\mathrm{a}}.\stackrel{\to }{\mathrm{b}}$, then $\mathrm{\theta }$ is equal to

(A)  $0°$

(B)  $180°$

(C)  $135°$

(D)  $45°$

Concept Questions :-

Vector Product