# A bullet is fired from a gun at the speed of $$280$$ ms–1 in the direction $$30^\circ$$ above the horizontal. The maximum height attained by the bullet is: ($$g=9.8$$ ms–2, $$\mathrm{sin}30^\circ=0.5$$ ) 1. $$3000$$ m 2. $$2800$$ m 3. $$2000$$ m 4. $$1000$$ m

Subtopic:  Projectile Motion |
61%
From NCERT
NEET - 2023
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The position of a particle is given by;
$$\vec r(t)=4t\hat i+2t^2\hat j+5\hat k$$
where $$t$$ is in seconds and $$r$$ in metre. Find the magnitude and direction of velocity $$v(t)$$, at $$t=1~\mathrm{s}$$, with respect to $$x$$-axis:
 1 $$4\sqrt2~\text{ms}^{-1},45^\circ$$ 2 $$4\sqrt2~\text{ms}^{-1},60^\circ$$ 3 $$3\sqrt2~\text{ms}^{-1},30^\circ$$ 4 $$3\sqrt2~\text{ms}^{-1},45^\circ$$
Subtopic:  Speed & Velocity |
77%
From NCERT
NEET - 2023
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A ball is projected from point $$A$$ with velocity $$20$$ ms–1 at an angle $$60^\circ$$ to the horizontal direction. At the highest point $$B$$ of the path (as shown in figure), the velocity $$v$$ (in ms–1) of the ball will be:

 1 $$20$$ 2 $$10\sqrt3$$ 3 zero 4 $$10$$
Subtopic:  Projectile Motion |
67%
From NCERT
NEET - 2023
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A particle is executing uniform circular motion with velocity $$\overrightarrow v$$ and acceleration $$\overrightarrow a.$$ Which of the following is true?
 1 $$\overrightarrow v$$ is a constant; $$\overrightarrow a$$ is not a constant. 2 $$\overrightarrow v$$ is not a constant;  $$\overrightarrow a$$ is not a constant. 3 $$\overrightarrow v$$ is a constant;   $$\overrightarrow a$$ is a constant. 4 $$\overrightarrow v$$ is not a constant;    $$\overrightarrow a$$ is a constant.
Subtopic:  Circular Motion |
55%
From NCERT
NEET - 2023
Hints

A cricket ball is thrown by a player at a speed of $$20$$ m/s in a direction $$30^\circ$$ above the horizontal. The maximum height attained by the ball during its motion is: (Take $$g=10$$ m/s2)
1. $$5$$ m
2. $$10$$ m
3. $$20$$ m
4. $$25$$ m
Subtopic:  Projectile Motion |
73%
From NCERT
NEET - 2022
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Rain is falling vertically downward with a speed of $$35~\text{m/s}$$. Wind starts blowing after some time with a speed of $$12~\text{m/s}$$ in East to West direction. The direction in which a boy standing at the place should hold his umbrella is:

 1 $$\text{tan}^{-1}\Big(\dfrac{12}{37}\Big)$$ with respect to rain 2 $$\text{tan}^{-1}\Big(\dfrac{12}{37}\Big)$$ with respect to wind 3 $$\text{tan}^{-1}\Big(\dfrac{12}{35}\Big)$$ with respect to rain 4 $$\text{tan}^{-1}\Big(\dfrac{12}{35}\Big)$$ with respect to wind
Subtopic:  Relative Motion |
69%
From NCERT
NEET - 2022
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A ball is projected with a velocity of $$10$$ ms–1 at an angle of $$60^\circ$$ with the vertical direction. Its speed at the highest point of its trajectory will be:
 1 $$10$$ ms–1 2 zero 3 $$5\sqrt3$$ ms–1 4 $$5$$ ms–1
Subtopic:  Projectile Motion |
59%
From NCERT
NEET - 2022
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A particle moving with uniform speed in a circular path maintains:
 1 constant acceleration. 2 constant velocity but varying acceleration. 3 varying velocity and varying acceleration. 4 constant velocity.
Subtopic:  Circular Motion |
58%
From NCERT
NEET - 2024
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For a smoothly running analog clock, the ratio of number of rotations made in a day by the hour hand and second hand respectively, is:
1. $$24 :1$$
2. $$1:720$$
3. $$1:60$$
4. $$2:5$$
Subtopic:  Circular Motion |
62%
From NCERT
NEET - 2024
A body is falling freely in a resistive medium. The motion of the body is described by $$\dfrac{dv}{dt}=(4-2v),$$ where $$v$$ is the velocity of body at any instant (in ms–1). The initial acceleration and terminal velocity of the body, respectively, are:
 1 $$4$$ ms–2, $$2$$ ms–1 2 $$2$$ ms–2, $$4$$ ms–1 3 $$6$$ ms–2, $$2$$ ms–1 4 $$2$$ ms–2, $$6$$ ms–1