The speed of a projectile projected from level ground at its maximum height is found to be half of its speed of projection (u). Its maximum height is:
1. 3u28g
2. 3u22g
3. √3u22g
4. 3u24g
A body moved along x-axis and y-axis according to the equation,
x=2sinθ
y=3cosθ
What is the trajectory followed by the body?
1.
2.
3.
4.
A particle of mass m is projected with a velocity at an angle with the horizontal into a uniform gravitational field. The slope of the trajectory varies with horizontal distance x as:
1. | 2. | ||
3. | 4. |
A projectile thrown at an angle 30° with horizontal from the level ground reaches a maximum height of 20 m. What will be the maximum height if it is thrown at an angle 60° with the same speed?
(1) 20 m
(2) 30 m
(3) 50 m
(4) 60 m
A body moving in a uniform circular motion with speed v. The magnitude of the change in its velocity after it rotates by an angle 120° is:
1. 2v
2. √3v
3. v
4. √32v
A car moves on a circular path such that its speed is given by v=Kt, where K = constant and t is time. Also given: radius of the circular path is r. The net acceleration of the car at time t will be:
1. √K2+(K2t2r)2
2. 2K
3. K
4. √K2+K2t2
An object of mass 10 kg is projected from level ground with speed 40 m/s at angle 30° with horizontal. The rate of change of momentum of object [in SI units] 1 second after the projection is [neglect air resistance]
(1) 100
(2) 50
(3) 25
(4) 75
A particle is projected horizontally with speed 20 m/s from a cliff of height 20 m. The magnitude of the velocity of particle when it reaches the ground
1. 20 m/s
2. 40 m/s
3. 20√2 m/s
4. Zero
A projectile is thrown with an initial velocity of 20 m/s at an angle of 60° with horizontal, then the angle of the velocity of the projectile with horizontal after time 0.732 sec is:
(1) 45°
(2) 30°
(3) 0°
(4) 15°
If ar and at represent radial and tangential accelerations, then the motion of particle will be uniformly circular for :
(1) ar = 0, at = 0
(2) ar = 0, at ≠ 0
(3) ar ≠ 0, at = 0
(4) ar ≠ 0, at ≠ 0