Home
Class 11
MATHS
In the following figure, the time-distan...

In the following figure, the time-distance graph is shown for a linear motion. As time `T=0`, distance is `2` units and at `T=3`, distance `=8` units. Using slopes, find the relation between distance and time.

Text Solution

Verified by Experts

Now, we know that the equation of a line passing through two points `(x1,y1) and (x2,y2)` is
`(y−y1)=y2−y1x2−x1(x−x1)`.
So, we have to find the equation between time and distance that is the equation of a given line.
So, we have,
`(y−8)=(8−23−0)(x−0)`
`(y−8)=53xy=8+53xy=53x+8`
Now, since on y – axis we have distance D and on x – axis we have time T. So, the equation of the given line is, `D=8+53T`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.3|18 Videos

  • STRAIGHT LINES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|24 Videos

  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 15.2|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise All Questions|110 Videos

Similar Questions

Explore conceptually related problems

Which of the following distance time graphs is possible ?

In figure, time and distance graph of a linear motion is given. Two positions of time and distance recorded and when T=0,\ D=2\ a n d\ w h e n\ T=3,\ D=8. Using the concept of slope, find law of motion i.e. how distance depends upon time.

In Figure, time and distance graph of a linear motion is given. Two positions of time and distance are recorded as, when T = 0, D = 2 and when T = 3, D = 8. Using die concept of slope, find law of motion, i.e., how distance depends upon time.

In the graph represent direction of distance (d) vs time (t) ?

What is the nature of the distance-time graphs for uniform and non-uniform motion of an object ?

The velocity time graph of a linear motion is shown in the figure. The distance from the starting point after 8 seconds will be .

The velocity-time graph of a linear motion is shown in figure. The displacement from the origin after 8 sec is :

The velocity - time graph for linear motion of an object is as shown. Find (a) The distance travelled and (b) Displacement for the interval between 5 s and 40 s.

Find the equation of ellipse whose distance between foci is 8 units and distance between the directrices is 18 units.

Find the dimensions of a/b in the relation F=a sqrt(x)+"bt"^(2) , where F is force, x is distance and t is time.