The motion of a particle is given by the equation The value of the acceleration of the particle at t = 1 s is :
1. | 10 m/s2 | 2. | 32 m/s2 |
3. | 23 m/s2 | 4. | 16 m/s2 |
The position \(x\) of a particle varies with time \(t\) as \(x=at^2-bt^3\). The acceleration of the particle will be zero at time \(t\) equal to:
1. \(\frac{a}{b}\)
2. \(\frac{2a}{3b}\)
3. \(\frac{a}{3b}\)
4. zero
A body is moving along a straight line according to the equation of motion, x, where x is in metre and t is in seconds. What is the acceleration of the body when it comes to rest?
1. Zero
2.
3.
4.
A particle moves along a straight line such that its displacement at any time t is given by metres. The velocity when the acceleration is zero is:
1. | 4 ms-1 | 2. | −12 ms−1 |
3. | 42 ms−1 | 4. | −9 ms−1 |
The acceleration ‘a’ in m/s2 of a particle is given by where t is the time. If the particle starts out with a velocity, u = 2 m/s at t = 0, then the velocity at the end of 2 seconds will be:
1. 12 m/s
2. 18 m/s
3. 27 m/s
4. 36 m/s
When the velocity of a body is variable, then:
1. its speed may be constant.
2. its acceleration may be constant.
3. its average acceleration may be constant.
4. All of the above
If the velocity of a particle is given by m/s, then its acceleration will be:
1. Zero
2. 8 m/s2
3. – 8 m/s2
4. 4 m/s2
A particle moves a distance x in time t according to equation x = (t+5)-1. The acceleration of the particle is proportional to:
1. | (velocity)3/2 | 2. | (distance)2 |
3. | (distance)-2 | 4. | (velocity)2/3 |
If a particle has negative velocity and negative acceleration, its speed:
1. | increases |
2. | decreases |
3. | remains the same |
4. | zero |