An object with a speed of 6.25 m/s, is decelerated at a rate given by:
where v is the instantaneous speed. The time taken by object, to come to rest, would be:
1. 2 s
2. 4 s
3. 8 s
4. 1 s
A particle of mass m is at rest at the origin at time t=0. It is subjected to a force F(t) = in the x-direction. Its speed v(t) is depicted by which of the following curves?
1.
2.
3.
4.
A point moves in a straight line so that its displacement x metre at time t sec is given by . It is acceleration in at time t sec is
1.
2.
3.
4.
If position (in meter) of a particle moving in straight line is given by (where t is time in second). The distance travelled by particle in first two second is
1. zero
2. 2 m
3. 4 m
4. 3 m
The displacement x of a particle varies with time t as , where a, b, are positive constants. The velocity of the particle is
1. be independent of
2. drop to zero when
3. go on decreasing with time
4. go on increasing with time
A balloon rises from rest with a constant acceleration g/8. A stone is released from it when it has risen to height h. The time taken by the stone to reach the ground is
1.
2.
3.
4.
Two particles start moving from the same point along the straight line. The first moves with constant velocity v and the second with constant acceleration a. During the time that elapses before the second catches the first, the greatest distance between the particles is
1.
2.
3.
4.
A particle is projected vertically upwards from a point A on the ground. It takes time t1 to reach a point B , but it still continues to move up. If it takes further t2 time to reach the ground from point B. Then height of point B from the ground is
1.
2.
3.
4.
A projectile of fired vertically upwards with an initial velocity u. After an interval of T seconds a second projectile is fired vertically upwards, also with initial velocity u. The correct statment is
1. They meety at time
2. They meet at time
3. They meet at time
4. They never meet
A body starts from rest with uniform acceleration and remains in motion for n seconds. If its final velocity after n second is v, then its displacement in the last two seconds will be
1.
2.
3.
4.
A body is in rectilinear motion with an acceleration given by . If particle starts its motion from origin with a velocity of 4 ms-1 , the position of x of the particle at an instant in terms of v can be given as
1.
2.
3.
4.
A stone is dropped from a height h. Simultaneously, another stone is thrown up from the ground which reaches a height 4 h. The two stones cross each other after some time
1.
2.
3.
4.
The velocity of a particle that moves in the positive x-direction varies with its position (x) as shown in the figure. Its acceleration at x = 6 m is
1.
2.
3.
4.
A train starts from station A with uniform acceleration a1 for some distance and then goes with uniform retardation a2 for some more distance to come to rest at station B. The distance between A and B is 4 km and the train takes 4 hours to complete this journey. If acceleration and retardation are in km/hour2, then
1.
2.
3.
4. None
The velocity of a particle moving along the x-axis is given by where v is in m/s and x is in m. Acceleration of the particle when it is passing through the point x = 4 m wil be
1. -20
2. -10
3. -5
4. zero
For position-time (x-t) curve as shown in figure, the velocity-time (v-t) curve will be
1.
2.
3.
4.
The graph given shows the velocity v versus time t for a body. Which of the following graphs shown represents the corresponding acceleration versus time graphs ?
1.
2.
3.
4.
A balloon is moving vertically upward with a velocity of 4 m/s. When its is at a height of h, a stone is dropped from it . If it reaches the ground in 4s, the height of the balloon, when the stone is released, is (g = 9.8 )
1. 62.4 m
2. 42.4 m
3. 78.4 m
4. 82.2 m
What is the average velocity during time interval t =2 s to t = 5 s, in the following position time curve ?
1. 2 m/s
2. 2/3 m/s
3. 1.2 m/s
4. 0.4 m/s
Consider the given velocity-time graph. It represents the motion of
1. a projectile projected vertically upward, from a point
2. an electron in the hydrogen atom
3. a bullet fired horizontally from the top of a tower
4. an object in the positive direction with decreasing speed