The velocity of a body moving with a uniform acceleration of 2 m/sec2 is 10 m/sec. Its velocity after an interval of 4 sec is
(1) 12 m/sec
(2) 14 m/sec
(3) 16 m/sec
(4) 18 m/sec
An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is
(1)
(2)
(3)
(4)
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
A body starts from rest from the origin with an acceleration of \(6~\text{m/s}^2\) along the \(x\text-\)axis and \(8~\text{m/s}^2\) along the \(y\text-\)axis. Its distance from the origin after \(4\) seconds will be:
1. \(56~\text{m}\)
2. \(64~\text{m}\)
3. \(80~\text{m}\)
4. \(128~\text{m}\)
The displacement of a particle is given by \(y = a + bt + ct^{2} - dt^{4}\). The initial velocity and acceleration are, respectively:
1. | \(b, -4d\) | 2. | \(-b,2c\) |
3. | \(b, ~2c\) | 4. | \(2c, -2d\) |
A car moving with a speed of 40 km/h can be stopped by applying brakes for atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance ?
(1) 8 m
(2) 2 m
(3) 4 m
(4) 6 m
The displacement is given by , the acceleration at is
(1)
(2)
(3)
(4)
A body moves from rest with a constant acceleration of 5 m/s2. Its instantaneous speed (in m/s) at the end of 10 sec is
(1) 50
(2) 5
(3) 2
(4) 0.5
If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of
(1) 20 m
(2) 400 m
(3) 1440 m
(4) 2880 m
If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be
(1) 20 ms–2
(2) 10 ms–2
(3) 2 ms–2
(4) 1 ms–2