Motion In A Plane is an important topic in the Physics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.
This article gives you a full set of WBJEE PYQs for Motion In A Plane with explanations for effective preparation. Practice of WBJEE Physics PYQs including Motion In A Plane questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.
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WBJEE PYQs for Motion In A Plane with Solutions
1.
Particle $A$ moves along $X$-axis with a uniform velocity of magnitude $10\, m / s$. Particle $B$ moves with uniform velocity $20\, m / s$ along a direction making an angle of $60^{\circ}$ with the positive direction of $X$-axis as shown in the figure. The relative velocity of $B$ with respect to that of $A$ is- $10\, m/s$ along X-axis
- $10\sqrt{3}$ m/s along Y-axis (perpendicular to X-axis)
- $10\sqrt{5}$ along the bisection of the velocities of A and B
- $30\, m/s$ along negative X-axis
2.
A ball is projected horizontally with a velocity of $5 \,m/s$ from the top of a building $19.6\, m$ high. How long will the ball take of hit the ground ?- $\sqrt{2}\,s$
- $2\, s$
- $\sqrt{3}\,s$
- $3\, s$
3.
Two particles are simultaneously projected in the horizontal direction from a point P at a certain height. The initial velocities of the particles are oppositely directed to each other and have magnitude v each. The separation between the particles at a time when their position vectors (drawn from the point P) are mutually perpendicular, is- $\frac{v^{2}}{2g}$
- $\frac{v^{2}}{g}$
- $\frac{4v^{2}}{g}$
- $\frac{2v^{2}}{g}$
4.
From the top of a tower, $80\, m$ high from the ground, a stone is thrown in the horizontal direction with a velocity of $8\, ms^{-1}.$ The stone reaches the ground after a time ?t? and falls at a distance of ?d? from the foot of the tower. Assuming $g=10\, ms^{-2},$ the time t and distance d are given respectively by- 6 s, 64 m
- 6 s, 48 m
- 4 s, 32 m
- 4s, 16 m
5.
A particle is moving with a constant speed $v$ in a circle. What is the magnitude of average velocity after half rotation ?- $2v$
- $\frac{2v}{\pi}$
- $\frac{v}{2}$
- $\frac{v}{2\pi}$
6.
A body of mass 2 kg moves in a horizontal circular path of radius 5m. In an instant its speed is \(2\sqrt5\) m/s and is increasing at the rate of 3 m/s2.The magnitude of the force acting on the body at the instant is,- 6N
- 8N
- 14N
- 10N
7.
Two vectors are given by $\vec{A} = (\hat{i} + 2j + \hat{k})$ and $\vec{B} = (3\hat{i} + 6\hat{j} + 2\hat{k})$. Another vector $\vec{C}$ has the same magnitude as $\vec{B}$ but has the same direction as $\vec{A}$. Then which of the following vectors represents $\vec{C}$ ?- $ \frac{7}{3}\left( \hat{i} + 2\hat{j} + 2\hat{k}\right)$
- $ \frac{3}{7}\left( \hat{i} - 2\hat{j} + 2\hat{k}\right)$
- $ \frac{7}{9}\left( \hat{i} - 2\hat{j} + 2\hat{k}\right)$
- $ \frac{9}{7}\left( \hat{i} + 2\hat{j} + 2\hat{k}\right)$
8.
A particle is moving with a uniform speed $v$ in a circular path of radius $r$ with the centre at $O$. When the particle moves from a point $P$ to $Q$ on the circle such that $? POQ=\theta$, then the magnitude of the change in velocity is- $2v\,sin\left(2\theta\right)$
- zero
- $2v\,sin\left(\frac{\theta}{2}\right)$
- $2v\,cos\left(\frac{\theta}{2}\right)$
9.
A projectile thrown with an initial velocity of 10 ms$^-1$ at an angle $\alpha$ with the horizontal, has a range of 5 m. Taking g = 10 ms$^-2 $and neglecting air resistance, what will be the estimated value of $\alpha$ ?- 15?
- 30?
- 45?
- 75?
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