The momentum is given by p=4t+1, the force at t=2s is

(A)  4 N

(B)  8 N

(C)  10 N

(D)  15 N

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle moves along a straight line such that its displacement at any time t is given by  metres. The velocity when the acceleration is zero is:

(A)

(B)

(C)

(D)

Difficulty Level:

The position x of particle varies with time t as $\mathrm{x}={\mathrm{at}}^{2}-{\mathrm{bt}}^{3}$. The acceleration of the particle will be zero at time equal to

(A)  $\frac{\mathrm{a}}{\mathrm{b}}$

(B)  $\frac{2\mathrm{a}}{\mathrm{b}}$

(C)  $\frac{\mathrm{a}}{3\mathrm{b}}$

(D)  Zero

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body is moving according to the equation $\mathrm{x}=\mathrm{at}+{\mathrm{bt}}^{2}-{\mathrm{ct}}^{3}$ where x = displacement and a, b and c are constants. The acceleration of the body is

(A)  $\mathrm{a}+2\mathrm{bt}$

(B)  $2\mathrm{b}+6\mathrm{ct}$

(C)  $2\mathrm{b}-6\mathrm{ct}$

(D)  $3\mathrm{b}-6{\mathrm{ct}}^{2}$

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle moves along X-axis in such a way that its X coordinate  varies with time t according to the equation $\mathrm{x}=\left(2-5\mathrm{t}+6{\mathrm{t}}^{2}\right)\mathrm{m}$. The initial velocity of the particle is

(A)  -5 m/s

(B)  6 m/s

(C)  3 m/s

(D)  3 m/s

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If the momentum of a particle is given by P=(180-8t) kg m/s, then its force will be

(A)  Zero

(B)  8 N

(C)  -8 N

(D)  4 N

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle moves along x-axis as $\mathrm{x}=4\left(\mathrm{t}-2\right)+\mathrm{a}{\left(\mathrm{t}-2\right)}^{2}$

Which of the following is true?

1.  The initial velocity of the particle is 4.

2.  The acceleration of the particle is 2a.

3.  The particle is at the origin at t=0.

4.  None of these

Concept Questions :-

Differentiation

Difficulty Level:

The maximum value of $7+6\mathrm{x}-9{\mathrm{x}}^{2}$ is

(A)  8

(B)  -8

(C)  4

(D)  -4

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^{2}-2\mathrm{x}+4$, then f(x) has

1.  a minimum at x=1

2.  a maximum at x=1

3.  no extreme point

4.  no minimum

Concept Questions :-

Differentiation
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle is moving along x-axis. The velocity v of particle varies with its position x as $\mathrm{v}=\frac{1}{\mathrm{x}}$. Find velocity of particle as a function of time t given that at t=0, x=1 .

1.  $\mathrm{v}=\sqrt{2\mathrm{t}+1}$

2.  $\mathrm{v}=\frac{1}{\sqrt{2\mathrm{t}+1}}$

3.  $\mathrm{v}=\frac{1}{\mathrm{t}}$

4.  None of these

Concept Questions :-

Integration