A bus begins to move with an acceleration of 1 ms-2. A man who is 48 m behind the bus starts running at 10 ms-1 to catch the bus. The man will be able to catch the bus after
6 s
5 s
8 s
7 s
A particle is moving with constant acceleration from A to B in a straight line AB. If u and v are the velocities at A and B respectively then its velocity at the midpoint C will be
D.
We have standard result for this type of velocity =
An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is 30°, then the speed of the aircraft is
19.63 ms-1
1963 ms-1
108 ms-1
196.3 ms-1
A particle crossing the origin of co-ordinates at time t = 0, moves in the xy-plane with a constant acceleration a in the y-direction. If its equation of motion is y = bx2 (b is a constant), its velocity component in the x-direction is
A stationary bomb explodes into three pieces. One piece of 2 kg mass moves with a velocity of 8 ms-1 at right angles to the other piece of mass 1 kg moving with a velocity of 12 ms-1. If the mass of the third piece of 0.5 kg, then its velocity is
10 ms-1
20 ms-1
30 ms-1
40 ms-1
A bridge is in the form of a semi-circle of radius 40 m. The greatest speed with which a motor cycle can cross the bridge without leaving the ground at the highest point is (g =10 ms-2) (Frictional force is negligibly small)
40 ms-1
20 ms-1
30 ms-1
15 ms-1
A body travelling with uniform acceleration crosses two points A and B with velocities 20 ms-1 and 30 ms-1 respectively. The speed of the body at the mid-point of A and B is nearest to
25.5 ms-1
25 ms-1
24 ms-1
An aeroplane flies around a square field ABCD of each side 1000 km. Its speed along AB is 250 kmh-1, along BC 500 kmh-1, along CD 200 kmh-1 and along DA 100 kmh-1. Its average speed (in kmh-1)over the entire trip is
225.5
175.5
190.5
310.5
Free fall of an object (in vacuum) is a case of motion with
uniform velocity
uniform acceleration
variable acceleration
constant momentum
The position of a particle is given by , where t is in second and the coefficients have proper units for to be in metre. The of the particle at t = 1 s is
4 ms-2 along y-direction
3 ms-2 along x-direction
4 ms-2 along x-direction
2 ms-2 along z-direction