A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 s and a distance of 30 m in next 3 s. The initial velocity of the particle is
3 ms-1
2.5 ms-1
1 ms-1
1.5 ms-1
The coordinates of a particle moving in x-y plane at any instant of time t are x = 4t2 ; y = 3t2. The speed of the particle at that instant is
10t
5t
3t
2t
A bullet when fired into a target loses half of its velocity after penetrating 20 cm. Further distance of penetration before it comes to rest is
6.66 cm
3.33 cm
12.5 cm
10 cm
A.
6.66 cm
Given, Initial velocity, U = v
Final velocity,
Distance, s = 20 cm
Let, the further distance of penetration before it comes to rest be x.
The distance x covered by a particle varies with time t as x2 = 2t2 + 6t + 1. Its acceleration varies with x as
x
x2
x-1
x-3
A particle moving along a straight line covers half of the distance with a speed of 3 ms-1. The other half of the distance is covered in two equal time intervals with speed of 4.5 ms-1 and 7.5 ms-1. The average speed of the particle (in ms-1) is
5.0
5.5
5.8
4.0
Two cars started moving with initial velocities v and 2 v. For the same deceleration, their respective stopping distances are in the ratio
1 : 1
1 : 2
1 : 4
2 : 1
The distances traversed during equal intervals of time by a freely falling body from rest are in the ratio
1 : 3 : 5 : 7 ....
2 : 4 : 6 : 8 .....
1 : 4 : 9 : 25 .....
1 : 9 : 25 : 49 .....
A ball is hung by a string from the ceiling of a car moving on a straight and smooth road. If the string is inclined towards the front side of the car making a small constant angle with the vertical, then the car is moving with
constant velocity
constant acceleration
constant retardation
increasing acceleration
A girl in a swing is 2.5 m above ground at the maximum height and at 1.5 m above the ground at the lowest point. Her maximum velocity in the swing is (g = 10 ms-2)
A car moves a distance of 200 m. It covers first half of the distance at speed 60 kmh-1 and the second half at speed v. If the average speed is 40 kmh-1, the value of v is
30 kmh-1
13 kmh-1
60 kmh-1
40 kmh-1