Motion Science - Motion

The slope of a speed-time graph gives:

A freely falling object travels 4.9m in 1st second, 14.7m in 2nd second, 24.5m in 3rd second, and so on. This data shows that the motion of a freely falling object is a case of:

The numerical ratio of displacement to distance for a moving object is:

In a free fall the velocity of a stone is increasing equally ion equal intervals of time under the effect of gravitational force of the earth. Then what can you say about the motion of this stone? Whether the stone is having:

In the following questions, a statement of Assertion is given by the corresponding statement of Reason. Of the statements, mark the correct answer as:

1. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
2. If both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
3. If Assertion is true, but Reason is false.
4. If Assertion is false, but Reason is true.
5. If Assertion and Reason both are false.

Assertion: A body performing uniform circular motion with constant speed may have acceleration.
Reason: When speed of a body remains constant, then its acceleration is always zero.

In the following questions, a statement of Assertion is given by the corresponding statement of Reason. Of the statements, mark the correct answer as:

1. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
2. If both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
3. If Assertion is true, but Reason is false.
4. If Assertion is false, but Reason is true.
5. If Assertion and Reason both are false.

Assertion: Acceleration of a body can be calculated from velocity-time graph.
Reason: Area of velocity-time graph gives distance travelled by the body.

In the following questions, a statement of Assertion is given by the corresponding statement of Reason. Of the statements, mark the correct answer as:

1. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
2. If both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
3. If Assertion is true, but Reason is false.
4. If Assertion is false, but Reason is true.
5. If Assertion and Reason both are false.

Assertion: Distance travelled by a body may be positive, negative or zero.
Reason: Shortest distance travelled by the body between two points is called distance.

In the following Questions, the Assertion and Reason have been put forward. Read the statements carefully and choose the correct alternative from the following:

1. Both the Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion.
2. The Assertion and the Reason are correct but the Reason is not the correct explanation of the Assertion.
3. Assertion is true but the Reason is false.
4. The statement of the Assertion is false but the Reason is true.

Assertion: Newton's equations of motion hold true for uniformly accelerated motion only.
Reason: The equations of motion do not apply to freely falling body as its motion is not uniformly accelerated.

Velocity of a body cannot be greater in magnitude than its speed. [True/ False]

On a straight line path, speed of a body is equal to its velocity. [True/ False]

There is no situation in the universe when velocity is zero but acceleration is non-zero. [True/ False]

We calculate average speed when the body is in non-uniform motion. [True/ False]

Displacement can be equal to, less than or greater than distance travelled. [True/ False]

Fill in the following blanks with suitable words:
The slope of a speed-time graph of a moving body gives its ________.

Acceleration is calculated from v - t graph while                   is area under v - t graph.

Fill in the blanks with suitable words:
The physical quantity which gives both, the speed and direction of motion of a body is called its __________.

Fill in the blanks.
_____ is the term used for negative acceleration.

What does the slope of a distance-time graph indicate?

What do the following measure in a car?

1. Speedometer. 
2. Odometer.

Write the formula for acceleration. Give the meaning of each symbol which occurs in it.

If the velocity-time graph of an object is parallel to X-axis, then what does it mean? Can it be parallel to Y-axis?

Change the speed of 6m/s into km/h.

An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time:

Time (in sec.):	0	1	2	3	4	5	6
Velocity (in m/s):	2	4	6	8	10	12	14

Plot the graph.
From the graph,

1. Find the velocity of the object at the end of 2.5 seconds.
2. Calculate the acceleration.
3. Calculate the distance covered in the last 4 seconds.

What is meant by:

1. Average speed
2. Uniform speed?

Study the velocity-time graph and calculate.

1. The acceleration from A to B.
2. The acceleration from B to C.
3. The distance covered in the region ABE.
4. The average velocity from C to D.
5. The distance covered in the region BCFE.

After studying the motion of a ball rolling on a straight line as shown in the figure.

Find its distance and displacement covered.

1. When it rolls from P to Q.
2. Finally comes back to P (i.e., P to P)(take, P as reference point).

Plot the v-t graph for the following data and state the nature of motion the body:

v(m/s):	0	5	8	12	18	25	30	35	40	45
t(s):	2	4	6	8	10	12	14	16	18	20

A body travels a distance of 3km towards East, then 4km towards North and finally 9km towards East.

1. What is the total distance travelled?
2. What is the resultant displacement?

Given below is the velocity-time graph for the motion of the car. What does the nature of the graph show? Also, find the acceleration of the car.

What is the difference between speed and velocity?

The figure shows an x-t graph of a particle moving along a straight line. What is the sign of the acceleration during the intervals OA, AB, BC, and CD?

A girl walks along a straight path to drop a letter in the letterbox and comes back to her initial position. Her displacement–time graph is shown in Plot a velocity–time graph for the same.

A boy walks from his classroom to the bookshop along a straight corridor towards North. He covers a distance of 20m in 25 seconds to reach the bookshop. After buying a book, he travels the same distance in the same time to reach back in the classroom. Find (a) average speed, and (b) average velocity, of the boy.

The graph given alongside shows how the speed of a car changes with time:

1. What is the initial speed of the car?
2. What is the maximum speed attained by the car?
3. Which part of the graph shows zero acceleration
4. Which part of the graph shows varying retardation?
5. Find the distance travelled in first 8 hours.

Describe an experiment to show that sound cannot pass through vacuum.

Instruction: The table given below shows distance (in cm) travelled by the bodies A, B and C. Read this data carefully and answer the questions which follow.
Distance (in cm) covered by different bodies:

Time	Body A	Body B	Body C
1st second	20	20	20
2nd second	20	36	60
3rd second	20	24	100
4th second	20	30	140
5th second	20	48	180

1. Which of the bodies is moving with:

1. Constant speed?
2. Constant acceleration?

2. Which of the bodies covers:

1. Maximum distance in 3rd second?
2. Minimum distance in 3rd second?

3. Which of the bodies is moving with non-uniform acceleration?