Motion in a Plane Test

Result

Motion in a Plane Test - 20

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Weekly Quiz Competition

Question 1
4 / -1

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T min. A man cycling with a speed of 20 km/h in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min. in the opposite direction. The period T of bus service is

A
18 min

B
6 min

C
9 min

D
12 min

Solution
Question 2
4 / -1

A car leaves station X for station Y every 10 minutes. The distance between X and Y is 60 km. The car travels at a speed of 60 km/h. A man drives a car from Y station towards X station at speed 60 kmh^–1. If he starts at the moment when one of the cars leaves station X, how many cars would be meet on route?

A
10

B
11

C
20

D
21

Solution
Question 3
4 / -1

A stone is dropped from the top of a tower and travels 24.5 m in last second of its journey. The height of the tower is

A
44.1m

B
49 m

C
78.4 m

D
78.4 m

Solution
Question 4
4 / -1

A balloon starts rising from the ground with an acceleration of 1.25 m/s². After 8 s. stone is released from the balloon. The stone will

A
cover a distance of 40m

B
have a displacement 50 m

C
reach the ground in 4s

D
begin to move down after being released

Solution
Question 5
4 / -1

The velocity time graph of a body is shown in the Fig. The ratio of the average velocity during the intervals OC and CB is

A
3

B
2

C
1

D
4

Solution
Question 6
4 / -1

A point initially at rest moves along the X – axis. Its acceleration varies with time as a = (5t + 6) m/s². If it starts from the origin, the distance covered by it in 2 second is

A
18.66m

B
14.33m

C
12.18m

D
6.66 m

Solution
Question 7
4 / -1

The time is expressed as function of x where α and β are constants as t = αx² + βx and υ is velocity. The retardation is

A
2 αν³

B
2 βν³

C
2 αβν³

D
2 β²ν³
Question 8
4 / -1

The motor of an electric train can give it an acceleration of 1 m/s² and brakes can give a negative acceleration of 3 m/s². The shortest time in which the train can make a trip between the two stations 1215 m apart is

A
113.6s

B
56.9s

C
60s

D
55s

Solution
Question 9
4 / -1

A ball is dropped from top of a building. The ball takes 0.5s to fall past the 3m length of a window some distance from top of building. With what speed does the ball pass the top of window?

A
6 m/s

B
12 m/s

C
7 m/s

D
3.5 m/s

Solution
Question 10
4 / -1

Two bodies are thrown vertically upwards with their initial speeds in the ratio 2:3. Then the ratio of the maximum heights attained by them is

A
2 : 3

B
4 : 9

C
1 : 1

D

Solution