Bissoy.com
Doctors Medicines MCQs Q&A

In displacement-time graph (x-t), the slope of chord in x-t graph in an interval of time represents

In displacement-time graph (x-t), the slope of chord in x-t graph in an interval of time represents Correct Answer Average velocity for that interval of time.

Correct option-4

Concept:-

  • Displacement-time graph is nothing but a plot between displacement and time. 
  • Displacement of a moving object is vector quantity so it can be both positive and negative.
  • The graph between displacement and time (x-t) is very useful in the numerical analysis.
  • The x-t graph gives us the idea of velocity and acceleration.
  • By the slope of x-t graph, we can find the velocity.

 

Explanation:-

  • Average velocity of a particle in a time interval is defined as the change displacement divided by the time interval.
  • We can analyze it through graph between displacement and time as shown in the diagram below

 

 

[ alt="x-t graph" src="//storage.googleapis.com/tb-img/production/21/04/x-t%20graph.png" style="width: 535px; height: 167px;">

 

  • Displacement time graph for an object at rest is a straight line with zero slope.
  • Displacement time graph for an object having uniform motion is a straight line with non-zero slope.
  • Displacement time graph for an object with uniform acceleration is a parabola.

 

Related Questions

Mean Value theorem is applicable to the and continuous in open interval (a, b) b) Functions continuous in closed interval only and having same value at point ‘a’ and ‘b’ c) Functions continuous in closed interval and differentiable in open interval (a, b) d) Functions differentiable in open interval (a, b) only and having same value at point ‘a’ and ‘b’
A circle whose radius is of 10 cm is having a chord inside it which is RS at a distance of 6 cm from it. It is having another chord PQ inside it which intersects chord PQ at T such that TS = 1/6 of RT. Find the value of chord PQ?
Rajat beats Nitin by 240 m in a 1560 m race. Then they go to race on a slope where Rajat starts from bottom of the slope and Nitin starts from top of the slope they run towards each other and when they meet Nitin has travelled 20 m more than Rajat. If the speed of any person on the slope, compared to normal speed, becomes (150/11)%  more in decline and 10% less in incline, what was the total length of the slope? 
The line graph L(G) of a simple graph G is defined as follows: There is exactly one vertex v(e) in L(G) for each edge e in G. For any two edges e and e' in G, L(G) has an edge between v(e) and v(e'), if and only if e and e' are incident with the same vertex in G. Which of the following statements is/are TRUE? (P) The line graph of a cycle is a cycle. (Q) The line graph of a clique is a clique. (R) The line graph of a planar graph is planar. (S) The line graph of a tree is a tree.
The marks of 30 students in a test is shown as follows: 12, 16, 22, 24, 11, 7, 9, 11, 13, 14, 17, 19, 18, 21, 22, 23, 8, 9, 17, 16, 14, 23, 24, 24, 23, 17, 18, 16, 11, 9  Which Tally table represent the correct data of the marks of the students. (A) Interval of marks Tally marks of students 0-5 0 5-10 ||||  10-15 |||| || 15-20 |||| |||| 20-25 |||| ||||   (B)  Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| ||| 15-20 |||| |||| 20-25 |||| || (C) Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| || 15-20 |||| |||| 20-25 |||| || (D) Interval of marks Tally marks of students 0-5 0 5-10 ||||  10-15 |||| || 15-20 |||| ||| 20-25 |||| ||||
Rolle’s theorem is applicable to the and continuous in open interval (a, b) only and having same value at point ‘a’ and ‘b’ b) Functions continuous in closed interval only and having same value at point ‘a’ and ‘b’ c) Functions continuous in closed interval and differentiable in open interval (a, b) only and having same value at point ‘a’ and ‘b’ d) Monotonically Increasing funtions
Three alarms are ringed on an interval. If the time interval between 1st and 2nd alarm is 220 secs, 2nd and 3rd alarm is 180 secs and time interval between 3rd and 1st alarm is 88.88% of 2nd and 3rd alarm. After how much time does they ringed together?
The length of a chord AB of a circle is 34 cm and it passes through its centre O and length of another chord AC is 30 cm. Find the area of triangle OPB where P is the midpoint of chord AC and PB = 11 cm.
In a circle of radius 17 cm, AB is a chord which is perpendicular to the diameter CD of that circle. If the length of chord BD is 5√34 cm, then what is the length of chord AB?
A chord of length 24 cm is drawn in a circle of diameter 40 cm. Another chord of length 32 cm is drawn in the same circle parallel to 24 cm long chord. What is the minimum distance (in cm) between them?