In a uniform circular motion:

If a body is accelerating, then;

Compared to an ideal projectile motion under gravity, which of the following is incorrect regarding another projectile motion in which air-friction is also considered?

Two balls are projected to acquire same range with the same initial speed u but at different angles of projection. If maximum height acquired by balls are ${\mathrm{H}}_1 \mathrm{and} {\mathrm{H}}_2$, then (${\mathrm{H}}_1 + {\mathrm{H}}_2$) is: (angle of projection of one projectile is $\mathrm{\theta }$)

At the highest point of trajectory in the ground to the ground projectile, the angle between gravitational acceleration and momentum is

5 people are standing at the vertices of a regular pentagon of side a. Each person moves towards the person standing at the adjacent corner with the same speed v. Then the persons:

A particle revolves in a horizontal circle with decreasing velocity. The angle between instantaneous velocity and instantaneous acceleration of the particle at an instant is

Two projectiles are thrown horizontally from a high cliff in the opposite direction with the same speed 20 m/ s simultaneously. At what time velocities of both particles become perpendicular?

The equation of the trajectory of a projectile is given as $\mathrm{y} = 4\mathrm{x} - \frac{1}{4}{\mathrm{x}}^2$. The range of the projectile is:

A cannon can give a maximum speed of 70 m/s to bombs. The maximum distance up to which cannon projects a bomb is (g = 10 m/${\mathrm{s}}^2$)

A man is running horizontally at a velocity of 6 m/s while rain is falling vertically at 6 m/s. The rain strikes the man with a speed of

A man wants to cross a river 600 m wide flowing at 8 m/s in the shortest time. Man has a speed of 6 m/ s in still water. What is the path length covered by the man in the river?

The trajectory of a projectile in the vertical plane is y = ax - ${\mathrm{bx}}^2$ where a and b are constants, x and y are horizontal and vertical displacements from point of projection. The angle of projection from the horizontal is

A shell is fired vertically upward with a velocity of 20 m/s from a trolley moving horizontally with a velocity of 10 m/s. A person on the ground observes the motion of the shell-like a parabola whose horizontal range is: (g = 10 m/${\mathrm{s}}^2$)

A car is moving at a speed of 30 m/s on a horizontal circular track of radius of 300 m. This speed is increasing at a rate of 4 $\mathrm{m}/{\mathrm{s}}^2$. Total acceleration of the car is:

A particle is moving along a circular path of radius a with constant angular velocity $\mathrm{\omega }$. The magnitude of displacement of the particle as a function of time t is:

A projectile starts with speed u at an angle $\mathrm{\theta }$ from the horizontal ground. The average velocity of the projectile between the point of projection and the point of arrival on the ground is:

A projectile is thrown with speed 50 m/s at an angle 53° with the horizontal. Taking horizontal as x-axis and vertical as y-axis, the equation of trajectory of the projectile is

Time of flight of a body dropped from a height H is T. If another body is projected horizontally with speed v from the same height, then its time of flight will be:

The vertical component of the velocity of a projectile from the ground is 40 m/s and its velocity at the highest point is 30 m/s. The horizontal range of the projectile is:

Two particles are thrown for same horizontal range R with the same initial speed (u), however, their times of flight are ${\mathrm{T}}_1 \mathrm{and} {\mathrm{T}}_2$ respectively. Which of the following is correct if maximum heights attained by them are ${\mathrm{H}}_1 \mathrm{and} {\mathrm{H}}_2$ respectively?

In the given diagram shown for a projectile, what is the angle of projection?

A body is executing uniform circular motion in a circle of radius 100 m at speed 10 m/s. Acceleration of the body is :

A particle started revolving from rest with a constant angular acceleration $\alpha$ in a circular path of radius r. If centripetal acceleration becomes numerically equal to tangential acceleration at time t, then t is equal to:

Balls A and B are thrown simultaneously from two points lying on the same horizontal plane separated by a distance 120 m. Path of A w.rt. B is

Which of the following is the angle between velocity and acceleration of a body in uniform circular motion?

A man wants to cross a river of width 500 m in the minimum distance. The rowing speed of man relative to water is 3 km/h and river flows with speed 2 km/h. The time taken by the man to cross the river

A person is rotating in a horizontal circle of radius 7 m. Find the period of rotation for which the acceleration is equal to 3g.

A man can row a boat with a speed of 10 kmph in still water. The river flows at 6 kmph. If he crosses the river from one bank to the other along the shortest possible path, time taken to cross the river of width 1 km is:

A bus is going to the North at a speed of 30 kmph. It makes a 90° left turn without changing the speed. The change in the velocity of the bus is: