The acceleration of a moving body can be found from:
(1) Area under the velocity-time graph
(2) Area under the distance-time graph
(3) Slope of the velocity-time graph
(4) Slope of the distance-time graph
The initial velocity of a particle is u (at t = 0) and the acceleration f is given by at. Which of the following relation is valid
1.
2.
3.
4. v = u
The initial velocity of the particle is 10 m/sec and its retardation is 2 m/sec2. The distance moved by the particle in 5th second of its motion is
(1) 1 m
(2) 19 m
(3) 50 m
(4) 75 m
The initial velocity of a body moving along a straight line is 7 m/s. It has a uniform acceleration of 4 m/s2. The distance covered by the body in the 5th second of its motion is
(1) 25 m
(2) 35 m
(3) 50 m
(4) 85 m
The position of a particle moving in the XY plane at any time t is given by metres. Select the correct statement about the moving particle from the following.
1. The acceleration of the particle is zero at t = 0 second
2. The velocity of the particle is zero at t = 0 second
3. The velocity of the particle is zero at t = 1 second
4. The velocity and acceleration of the particle are never zero
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 starts from rest from the origin with an acceleration of along the x-axis and along the y-axis. Its distance from the origin after 4 seconds will be
(1) 56 m
(2) 64 m
(3) 80 m
(4) 128 m
A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can be stopped by this force in
(1)
(2) 20 m
(3) 60 m
(4) 180 m
The displacement of a particle is given by . The initial velocity and acceleration are, respectively:
1. | \(\mathrm{b}, ~\mathrm{-4d}\) | 2. | \(\mathrm{-b},~ \mathrm{2c}\) |
3. | \(\mathrm{b}, ~\mathrm{2c}\) | 4. | \(\mathrm{2c}, ~\mathrm{-2d}\) |
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