The motion of a particle is described by the equation u = at, where u is velocity and a is a constant. The distance travelled by the particle in the first 4 seconds
1. 4 a
2. 12 a
3. 6 a
4. 8 a
The relation \(3t = \sqrt{3x} + 6\) describes the displacement of a particle in one direction where \(x\) is in metres and \(t\) in seconds. The displacement, when velocity is zero, is:
1. | \(24\) metres | 2. | \(12\) metres |
3. | \(5\) metres | 4. | zero |
The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms–1. If the change in velocity of the body is 0.18ms–1 during this time, its uniform acceleration is
1. 0.01 ms–2
2. 0.02 ms–2
3. 0.03 ms–2
4. 0.04 ms–2
Equation of displacement for any particle is . Its acceleration at time t = 1 sec is
1. 10 m/s2
2. 16 m/s2
3. 25 m/s2
4. 32 m/s2
The position of a particle moving along the x-axis at certain times is given below :
t (s) | 0 | 1 | 2 | 3 |
x (m) | -2 | 0 | 6 | 16 |
Which of the following describes the motion correctly?
1. Uniform, accelerated
2. Uniform, decelerated
3. Non-uniform, accelerated
4. There is not enough data for generalization
Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process ?
1. Velocity only
2. Displacement and velocity
3. Acceleration, velocity and displacement
4. Displacement and acceleration
The displacement of a particle, moving in a straight line, is given by where s is in metres and t in seconds. The acceleration of the particle is
1. 2 m/s2
2. 4 m/s2
3. 6 m/s2
4. 8 m/s2
The velocity of a bullet is reduced from 200m/s to 100m/s while travelling through a wooden block of thickness 10cm. The retardation, assuming it to be uniform, will be
1. m/s2
2. m/s2
3. m/s2
4. m/s2
A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it?
1. 750 m
2. 800 m
3. 700 m
4. 850 m
A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is
1. 6m
2. 12m
3. 18m
4. 24m