Q: When a graph between two physical quantities is a straight line, the two quantities are

As we know the equation of a straight line is \$Y=mX+C\$Let us assume \$X\$ and \$Y\$ are two different physical quantity and C is any constant. and the graph between them is straight line. According to above equation, \$Y\propto X\$Hence, \$X\$ and \$Y\$ are Directly proportional.Option C

Q: What are the uses of distance time graph?

The uses of distance – time graphs are :1. The nature of motion is given at a glance.2. The relative motion at various intervals can.3. The region of acceleration or retardation can be estimated without any calculation.4. The distance of moving body at any time unit can be calculated.

Q: Which of the following distance-time graphs shows a truck moving with speed which is not constant ?

\$(i)\$ In a \$distance- time\$ graph, the constant speed of a truck will be represented by a straight line.\$(ii)\$ In a \$distance- time\$ graph, a straight parallel to the time axis indicates that the truck is not moving.\$(iii)\$ A curved line on the \$distance- time\$ graph indicates that the truck is moving with a speed which is not constant.\$(iv)\$ In a \$distance- time\$ graph, the constant speed of a truck will be represented by a straight line.Hence, option \$c\$ is correct answer.

Question 1

Four cars A, B, C and D are moving on a leveled road. Their distance versus time graphs are shown in the given figure. Choose the correct statement

Accepted Answer

The slope of distance vs time graphs represent speed. B has the minimum slope and hence the minimum speed.

Question 2

Position-time graph of a stationary object is a straight line parallel to time axis.

Accepted Answer

For a stationary object, position does not change with time.

Question 3

When a graph between two physical quantities is a straight line, the two quantities are

Accepted Answer

As we know the equation of a straight line is $Y=mX+C$Let us assume $X$ and $Y$ are two different physical quantity and C is any constant. and the graph between them is straight line. According to above equation,                                               $Y\propto X$Hence,  $X$ and  $Y$ are Directly proportional.Option C

Question 4

In distance-time graph, which of the following is plotted on the y-axis?

Accepted Answer

In the distance-time graph, time is plotted on the x-axis, and distance is plotted on the y-axis as distance depends on time.

Question 5

What are the uses of distance time graph?

Accepted Answer

The uses of distance &#8211; time graphs are :1. The nature of motion is given at a glance.2. The relative motion at various intervals can.3. The region of acceleration or retardation can be estimated without any calculation.4. The distance of moving body at any time unit can be calculated.

Question 6

What is a position-time graph?

Accepted Answer

A graph drawn by taking time along the x-axis and displacement along the y-axis is called a position-time graph.

Question 7

Which of the following distance-time graphs is possible?

Accepted Answer

Toppr Ask Answer

Question 8

Which of the following distance-time graphs shows a truck moving with speed which is not constant ?

Accepted Answer

$(i)$ In a $distance- time$ graph, the constant speed of a truck will be represented by a straight line.$(ii)$ In a $distance- time$ graph, a straight parallel to the time axis indicates that the truck is not moving.$(iii)$ A curved line on the $distance- time$ graph indicates that the truck is moving with a speed which is not constant.$(iv)$ In a $distance- time$ graph, the constant speed of a truck will be represented by a straight line.Hence, option $c$ is correct answer.

Question 9

Which of the following graphs represents the movement of a car that is slowing down and comes to a complete stop?

Accepted Answer

Slope of the distance-time graph gives the instantaneous speed of the body. For the car to be slowing down with time, the slope of the graph must continuously decrease and finally becomes zero so as the car to stop. Thus, distance-time graph shown in option D is the correct answer.

Question 10

In which of the following graphs, The speed of the body is zero?

Accepted Answer

Option DAccording to given question, Speed of a body is zero. It means that position of body is not change with respect to time. In options A, B, and C: The distance of an object is increasing with respect to time. Hence Object is in motion. Therefore given body will have some velocity in given time range.In option D: The distance of a body is not changing with respect to time hence this body will be at rest and its velocity will be zero in the given time range.

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