If body having initial velocity zero is moving with uniform acceleration 8 m/sec2 , then the distance travelled by it in fifth second will be
(1) 36 metres
(2) 40 metres
(3) 100 metres
(4) Zero
A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is
(1) 3 m/sec2
(2) –3 m/sec2
(3) 0.3 m/sec2
(4) –0.3 m/sec2
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
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 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 according to the equation where x = displacement and a, b and c are constants. The acceleration of the body is
(1)
(2)
(3)
(4)
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 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
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