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Case Based Questions Test: Motion in a Straight Line - Grade 11 MCQ


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10 Questions MCQ Test - Case Based Questions Test: Motion in a Straight Line

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Case Based Questions Test: Motion in a Straight Line - Question 1

Journey to a picnic spot:

2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.

What was the relative velocity of B relative to A?

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 1

velocity of B relative to A = VB - VA
                                        = 50 - 60
                                        = -10

Case Based Questions Test: Motion in a Straight Line - Question 2

Journey to a picnic spot:

2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.

What were the velocities of A and B relative to C?

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 2
Since C was in stationary position, his velocity was 0. Hence the velocity of A relative to C was 6

60 – 0 = 60 km/h and the velocity of B relative to C was 50 – 0 = 50 km/h.

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Case Based Questions Test: Motion in a Straight Line - Question 3

Journey to a picnic spot:

2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.

How the distance of the picnic spot can be found from the appropriate graph?

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 3
Area under the graph gives the distance. It is 60 × 2 = 120 km.
Case Based Questions Test: Motion in a Straight Line - Question 4

A journey:

Tabu lives at A. He was supposed to go to his uncle’s house at B. A and B is connected by a straight road 5 km long. But that day the road was under repair. So, all the buses was following a diversion via C. A to B via C is 7 km. Moreover this route is congested. There is a traffic signal at C also.

Tabu got a seat just behind the driver. He noticed that the minimum reading in the speedometer was 15 km/h. But ultimately the bus took 1 hour to reach B. He could not understand the fallacy.

What is the distance and displacement of Tabu?

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 4
Distance is the actual path covered i.e. 7 km. Displacement is the straight line distance from A to B i.e. 5 km
Case Based Questions Test: Motion in a Straight Line - Question 5

A journey:

Tabu lives at A. He was supposed to go to his uncle’s house at B. A and B is connected by a straight road 5 km long. But that day the road was under repair. So, all the buses was following a diversion via C. A to B via C is 7 km. Moreover this route is congested. There is a traffic signal at C also.

Tabu got a seat just behind the driver. He noticed that the minimum reading in the speedometer was 15 km/h. But ultimately the bus took 1 hour to reach B. He could not understand the fallacy.

Speedometer measures

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 5
A speedometer or speedometer is a gauge that measures and displays the instantaneous speed of a vehicle.
Case Based Questions Test: Motion in a Straight Line - Question 6

A journey:

Tabu lives at A. He was supposed to go to his uncle’s house at B. A and B is connected by a straight road 5 km long. But that day the road was under repair. So, all the buses was following a diversion via C. A to B via C is 7 km. Moreover this route is congested. There is a traffic signal at C also.

Tabu got a seat just behind the driver. He noticed that the minimum reading in the speedometer was 15 km/h. But ultimately the bus took 1 hour to reach B. He could not understand the fallacy.

Which of the following graphs represents the motion of the bus if it covers AC distance at a speed 15 km/h, CB distance at a speed 20 km/h and total distance is covered in 1 hour including halt at traffic signal.

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 6
It is a time-speed graph. For AC: speed is 15 km/h, AC = 3 km,

Case Based Questions Test: Motion in a Straight Line - Question 7

Journey to a picnic spot:

2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.

What was the relative velocity of A relative to B?

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 7
The velocity of A relative to B is

VA – VB = 60 – 50 = 10 km/h

Case Based Questions Test: Motion in a Straight Line - Question 8

Journey to a picnic spot:

2 friends started for a picnic spot, in two different cars. A drove his car at a constant velocity 60 km/h. B drove his car at a constant velocity 50 km/h. The velocity of B relative to A is VB – VA Similarly, the velocity of object A relative to object B is VA – VB Their friend C was supposed to wait at a point on the road for a lift. Both of them forgot to pick up C. A and B reached the picnic spot within 2 hours and 2 hours 24 minutes respectively.

Which one of the following shows the Velocity vs. Time Plot for A?

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 8
As the speed of A is constant i.e. 60 km/h
Case Based Questions Test: Motion in a Straight Line - Question 9

A journey:

Tabu lives at A. He was supposed to go to his uncle’s house at B. A and B is connected by a straight road 5 km long. But that day the road was under repair. So, all the buses was following a diversion via C. A to B via C is 7 km. Moreover this route is congested. There is a traffic signal at C also.

Tabu got a seat just behind the driver. He noticed that the minimum reading in the speedometer was 15 km/h. But ultimately the bus took 1 hour to reach B. He could not understand the fallacy.

Why the speedometer reading was minimum 15 km/h, bus actual time required to cover 7 km was 1 hour?

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 9
The bus might have run at minimum speed 15 km/h. But halt timings at the traffic signal, at the congested areas and at the bus stops increase the actual time taken.
Case Based Questions Test: Motion in a Straight Line - Question 10

A journey:

Tabu lives at A. He was supposed to go to his uncle’s house at B. A and B is connected by a straight road 5 km long. But that day the road was under repair. So, all the buses was following a diversion via C. A to B via C is 7 km. Moreover this route is congested. There is a traffic signal at C also.

Tabu got a seat just behind the driver. He noticed that the minimum reading in the speedometer was 15 km/h. But ultimately the bus took 1 hour to reach B. He could not understand the fallacy.

If the bus followed ACB path and reached B in 1 hour, then the average speed of the bus would have been

Detailed Solution for Case Based Questions Test: Motion in a Straight Line - Question 10

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