Recommended PYQs (STRICTLY NCERT Based) Motion in A Plane Physics NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

A body is falling freely in a resistive medium. The motion of the body is described by \(\frac{dv}{dt}=(4-2v),\) where \(v\) is the velocity of the body at any instant (in \(\text{ms}^{–1}\)). The initial acceleration and terminal velocity of the body, respectively, are:

1.	\(4~\text{m/s}^2,\) \(2~\text{m/s}\)
2.	\(2~\text{m/s}^2,\) \(4~\text{m/s}\)
3.	\(6~\text{m/s}^2,\) \(2~\text{m/s}\)
4.	\(2~\text{m/s}^2,\) \(6~\text{m/s}\)

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A bullet is fired from a gun at the speed of \(280~\text{ms}^{-1}\) in the direction \(30^\circ\) above the horizontal. The maximum height attained by the bullet is:\(\left(g=9.8~\text{m/s}^{2}, \sin30^{\circ}=0.5\right)\)

1.	\(3000~\text{m}\)	2.	\(2800~\text{m}\)
3.	\(2000~\text{m}\)	4.	\(1000~\text{m}\)

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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 metres. Find the magnitude and direction of the velocity \(v(t)\), at \(t=1~\text{s},\) with respect to the \(x\text-\)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.	\(3\sqrt2~\text{ms}^{-1},45^\circ\)

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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.	\(10\)

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A particle is executing uniform circular motion with velocity \(\vec v\) and acceleration \(\vec a.\) Which of the following is true?

1.	\(\vec v\) is a constant; \(\vec a\) is not a constant.
2.	\(\vec v\) is not a constant; \(\vec a\) is not a constant.
3.	\(\vec v\) is a constant; \(\vec a\) is a constant.
4.	\(\vec v\) is not a constant; \(\vec a\) is a constant.

Q7:

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A ball is projected with a velocity of \(10~\text{m/s}\) at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:
1. \(10~\text{m/s}\)
2. zero
3. \(5\sqrt{3}~\text{m/s}\)
4. \(5~\text{m/s}\)

Q8:

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Rain is falling vertically downward with a speed of \(35~\text{m/s}.\) The wind starts blowing after some time with a speed of \(12~\text{m/s}\) in the east to the west direction. The direction in which a boy standing at the place should hold his umbrella is:

1.	\(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to rain
2.	\(\text{tan}^{-1}\Big(\frac{12}{37}\Big)\) with respect to wind
3.	\(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to rain
4.	\(\text{tan}^{-1}\Big(\frac{12}{35}\Big)\) with respect to wind

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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

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