Relative Motion in 1D

Q.

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q seperated by a distance with velocity 30 km/hr and 40 km/hr respectively. The velocity of the car midway between P and Q is a) 33.3 km/hr b) 20$\sqrt{2}$ km/hr c) 25$\sqrt{2}$km/hr d) 35 km/hr.

Q.

A trolley of mass 200 kg moves with a uniform speed of 36 km/h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed to 4 m/s relative to the trolley in a direction opposite to the trolley's motion and jumps out of the trolley. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?

1. 10.4 m/s, 24 m

2. 10.4 m/s, 22 m

3. 9.2 m/s, 26 m

4. 10.4 m/s, 26 m

Q. A body travels distance s1 with velocity g1 and distance s2 with velocity v2 in the same direction . Calculate the average velocity of body

Q. 38.Four persons P, Q, R and S are initially at the four corners of a square of side d. Each person now moveswith a constant speed v in such a way that P always moves directly towards Q, Q towards R, R towards S, and S towards P.Then find the relative velocity between successive person. Click here to view details:

Q. 24. Person A is moving towards west with speed 3 km/hand B is moving towards north with speed 4 km/hThen the velocity of A relative to B is at an angle of(1) 37 south of east(2) 30^° south of west(3) 53 south of west(4) 53 west of southkash Tower, 8. Pusa Road Now Delbi110

Q. 19. The engine of a train passes an electric pile with a velocity u and the last compartment of the train crosses the pole with a velocity v. Then find the velocity with which mid point of train passes

Q. 96.A train is moving with velocity of 30 km/h due east and a car is moving with a velocity of 40 km/h due north. What is the velocity of car as appears to a passenger in a train ?

Q. 36. In the case, velocity of the object is changing at uniform rate(a) from u to v in time t , so what is the average velocity for the given period of time t ?

Q. a car appears to move northward with speed 40m/s to truck driver moving with speed 30m/s towards east.the velocity of car with respect to ground

Q. 35.A bus appear to move northward at a speed of 20\sqrt{}3 km per hour to a man driving his car eastwards with speed 20 km per hour .find the velocity of bus with respect to ground (with angle).

Q. A says that B is in motion. But C says that B is at rest . Is this possible

Q. 29.A block of mass m is placed on the top of a wedge of mass M and system is placed on a horizontal surface. base length of wedge is L and height is h if all surfaces are smooth by the time block reaches ground the displacement of wedge is.

Q. What is relative velocity and explain the uses of relative velocity while solving problems?

Q. A body covers first one this off the distance with a velocity 10ms^{-1} in same direction, the second one third with a velocity 20ms^{-1} and last one third with a velocity of 30ms^{-1}.The average velocity is

Q. A car is moving towards north with a velocity of 80km/hr.Another car is moving with 802km/hr velocity towards north west .Find the relative velocity of the second car with respect to the first car.

Q. 128. A man pushes a trunk of mass 2500kg along horizontal rails with a steady force of 300N. The resistance of the rails is 0.004Nkg. Find the velocity of the trunk at the end of 30s and distance travelled.

Q.

Two bodies move toward each other from 10 m apart with a constant velocity they meet at C after 2s. What is the relative velocity of A w.r.t. B?

1. 5 m/s

2. 1 m/s

3. -1 m/s

4. -5 m/s

Q. 22.A body moving with uniform acceleration had velocities of 20 m/s and 30m/s when passing the points P and Q of its path.Find the velocity midway between P and Q(in m/s).

Q. Difference between motion and rest.

Q. Two cars of unequal masses use same tyres.If they are moving with same initial speed the minimum stopping dis†an ce is: a)Is smaller for the heavier car b)Smaller for the lighter car c)Is same for both d)Depends on their volum

Q. Two bodies $A$ and $B$ are travelling with constant velocities of $20\text{m/s}$ and $30\text{m/s}$ in opposite direction. The relative speed of $A$ with respect to $B$ is

1. $10\text{m/s}$
2. $20\text{m/s}$
3. $30\text{m/s}$
4. $50\text{m/s}$

Q. a bus is moving northward with velocity of 10\sqrt3 m/s to a man driving his car westward with speed 10m/s find the velocity of bus with respect to groun

Q. if velocity of flow is 4m/s then velocity head i

Q. Two blocks of masses 5 kg and 2 kg are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of 14 m/sec to the heavier block towards the lighter one. The velocity gained by the centre of mass is

Q. 62. A particle is moving southward with a velocity of 2m/s. In 4second, the velocity changes to 22m/s in south west direction. The average acceleration is. 1)1/2. Eastward. 2)1/2westward. 3)2 westward. 4)1/2. Westward

Q.

Two bodies move toward each other from 10 m apart with a constant velocity they meet at C after 2s. What is the relative velocity of B w.r.t. A?

1. 1 m/s

2. -1 m/s

3. 5 m/s

4. -5 m/s

Q. A boy throws a ball upwards with a velocity of $5\text{m/s}$ from a balloon descending with a constant velocity of $15\text{m/s}$. After how much time will the boy be able to catch the ball? Take $g=10{\text{m/s}}^2$ .

1. $5\text{s}$
2. $20\text{s}$
3. $15\text{s}$
4. $4\text{s}$

Q. if velocity is cons†an t then speed will also cons†an t.justif

Q.

Two particles A and B stars simultaneously from the same point . A moves with constant velocity of 25 m/s and B starts from rest but with uniform acceleration of 2 m/s^2. Find the time after which they will meet again .

Q. If a moving body of mass 4kg is stopped by applying a cons†an t for of 100N upto 2 metre.Find its initial speed