Motion in a Plane Test

Result

Motion in a Plane Test - 19

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Question 1
4 / -1

A particle starts from the origin, goes along X-axis to the point (20 m, 0) and then returns along the same line to the point (–20 m, 0). The distance and displacement of the particle during the trip are

A
40 m, 0

B
40 m, 20 m

C
40 m, –20

D
60 m, –20 m
Question 2
4 / -1

When two bodies move uniformly towards each other the distance between them decreases by 8m/s. If both bodies move in the same direction with different speeds the distance between them increases by 2 m/s. The speeds of two bodies will be 4m/s and 3 m/s

A
4 m/s and 3 m/s

B
4 m/s and 2 m/s

C
5 m/s and 3 m/s

D
7 m/s and 3 m/s
Question 3
4 / -1

A bus travels the first one third distance at a speed of 10 Km/h. The next one third distance at 20Km/h and the last one third distance at 60Km/h. The average speed of the bus is

A
16 km/h

B
18 km/h

C
9 km/h

D
48 km/h

Solution
Question 4
4 / -1

A particle moving in a straight line covers half the distance with speed of 3m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5m/s and 7.5 m/s respectively. The average speed of the particle during this motion is

A
4.0 m/s

B
5.0 m/s

C
5.5 m/s

D
4.8 m/s

Solution
Question 5
4 / -1

On displacement time graph, two straight lines make angle 60º and 30º with time axis. The ratio of the velocities represented by them is

A
1 : 2

B
1 : 3

C
2 : 1

D
3 : 1

Solution
Question 6
4 / -1

A frictionless wire AB fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by this ball to slip from A to B is

A

B

C

D

Solution
Question 7
4 / -1

A rod of length l leans by its upper end against a smooth vertical wall, while its other end leans against the floor. The end that leans against the wall moves uniformly downwards. Then

A
the other end also moves uniformly

B
the speed of other end goes on increasing

C
the speed of other end goes on decreasing

D
the speed of other end first decreases and then increases.

Solution
Question 8
4 / -1

Which one of the following represents the time displacement graph of two objects A and B moving with zero relative speed.

A

B

C

D
Question 9
4 / -1

Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular rails as shown in Fig. The velocity of A to the right is 10 m/s. What is the velocity of B when angle θ = 60º ?

A
9.8 m/s

B
10 m/s

C
5.8 m/s

D
17.3 m/s

Solution
Question 10
4 / -1

Two persons A and B standing 54 m apart on a long moving belt. Person A rolls a ball towards person B with a speed of 9 ms^–1 with respect to the belt. If the belt is moving with a speed of 4 ms^–1 in the direction from A to B, what is the speed of the ball with respect to an observer on a stationary platform :

A
13 ms^–1

B
9 ms^–1

C
5 ms^–1

D
4 ms^–1