Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
A cricket ball is thrown by a player at a speed of $20 \text{ m/s}$ in a direction $30^{\circ}$ above the horizontal. The maximum height attained by the ball during its motion is: (Take $g=10 \text{ m/s}^2$)
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:
A particle moving with uniform speed in a circular path maintains:
The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is
Two bullets are fired horizontally and simultaneously towards each other from the rooftops of two buildings (building being $100 \text{ m}$ apart and being of the same height of $200 \text{ m}$) with the same velocity of $25 \text{ m/s}$. When and where will the two bullets collide? ($g=10 \text{ m/s}^2$)
A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is:
A man sitting in a bus travelling in a direction from west to east with a speed of $40 \text{ km/h}$ observes that the rain-drops are falling vertically downwards. To another man standing on ground the rain will appear:
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = βx⁻²ⁿ, where β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by:
A particle (A) is dropped from a height and another particle (B) is thrown in the horizontal direction with a speed of 5 m/sec from the same height. The correct statement is:
The horizontal range of a projectile is $4\sqrt{3}$ times its maximum height. Its angle of projection will be:
For a smoothly running analog clock, the ratio of the number of rotations made in a day by the hour hand to the second hand, respectively, is:
A particle starts its motion from rest under the action of a constant force. If the distance covered in the first 10 s is S₁ and that covered in the first 20 s is S₂, then:
The range of a particle when launched at an angle of $15^\circ$ with the horizontal is $1.5\text{ km}$. What is the range of the projectile when launched at an angle of $45^\circ$ to the horizontal?
A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$. Which of the following is true?
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = βx⁻²ⁿ where β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x is given by:
A ball is thrown vertically downwards with a velocity of 20 m/s from the top of a tower. It hits the ground after some time with the velocity of 80 m/s. The height of the tower is: (assuming g = 10 m/s²)
If a body A of mass $M$ is thrown with a velocity $v$ at an angle of $30^{\circ}$ to the horizontal and another body B of the same mass is thrown with the same speed at an angle of $60^{\circ}$ to the horizontal. The ratio of horizontal range of A to B will be:
If the velocity of a particle is v = At + Bt², where A and B are constants, then the distance travelled by it between 1 s and 2 s is:
A particle moves along a straight line OX. At a time t (in seconds), the displacement x (in metres) of the particle from O is given by x = 40 + 12t - t³. How long would the particle travel before coming to rest?
Which of the following is not a monomer for a high molecular mass silicone polymer?