General
✓✗A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is
- 1 m/s2
- 7 m/s2
-
m/s2
- 5 m/s2
General
✓✗The vectors 
and 
are such that 
. The angle between the two vectors is
and are such that . The angle between the two vectors is- 45°
- 90°
- 60°
- 75°
General
✓✗When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel x2 distance. Then x1 : x2 will be
-
1 :
-
1 :
-
: 1
-
1 :
General
✓✗The magnitude of vectors 
, 
and 
are 3, 4 and 5 units respectively. If 
, the angle between 
and 
is
, and are 3, 4 and 5 units respectively. If , the angle between and is- p/2
- cos–1 (0.6)
- tan–1 (7/5)
- p/4
General
✓✗In the given figure, a = 15 m s–2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time.
The speed of the particle is
The speed of the particle is
- 4.5 m s–1
- 5.0 m s–1
- 5.7 m s–1
- 6.2 m s–1
General
✓✗The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is
- 60°
- 15°
- 30°
- 45°
General
✓✗The position vector of a particle 
as a function of time is given by 
where R is in meters, t is in seconds and 
and 
denote unit vectors along x-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
as a function of time is given by where R is in meters, t is in seconds and and denote unit vectors along x-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?- Magnitude of the velocity of particle is 8 p meter/second
- Path of the particle is a circle of radius 4 meter
-
Acceleration vector is along –
-
Magnitude of acceleration vector is
, where v is the velocity of particle
General
✓✗If 
then angle between A and B will be
then angle between A and B will be- 90°
- 120°
- 0°
- 60°
General
✓✗A projectile is fired at an angle of 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is
- 45°
- 60°
-
-
General
✓✗An object of mass 3 kg is at rest. Now a force of 
is applied on the object then velocity of object at t = 3 s is
is applied on the object then velocity of object at t = 3 s is
General
✓✗The position vector of a particle is 
. The velocity of the particle is
. The velocity of the particle is- directed towards the origin
- directed away from the origin
- parallel to the position vector
- perpendicular to the position vector
General
✓✗A bus is moving on a straight road towards north with a uniform speed of 50 km/hour then it turns left through 90°. If the speed remains unchanged after turning, the increase in the velocity of bus in the turning process is
- 70.7 km/hr along south-west direction
- zero
- 50 km/hr along west
- 70.7 km/hr along north-west direction
General
✓✗Identify the vector quantity among the following.
- distance
- angular momentum
- heat
- energy
General
✓✗A particle moves in x-y plane according to rule x = asinwt and y = acoswt. The particle follows
- an elliptical path
- a circular path
- a parabolic path
- a straight line path inclined equally to x and y-axes
General
✓✗A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved ?
- 5 m/s
- 3 m/s
- 14 m/s
- 3.92 m/s