Question

13.Distance covered by a body from velocity - time graph is 1.Area under the graph 2. Equal to the slope of the graph3. It is denoted by the line parallel to the time axis at any point4. It is denoted by the line parallel to the distance axis at any point​

Answer 1

Answer:

(1) OA represents uniform acceleration since the slope of OA in the velocity-time graph is having a uniform positive slope. AB represents the uniform velocity of 20ms

−1

. Since the slope of AB is zero. hence, acceleration is zero.

(2) After 10 s, the velocity is 20ms

−1

up to 30 s and after 30 s, the velocity is uniformly restarted to zero after 40 s.

(3) Retardation is uniform and it is equal to the slope of BC, i.e.

Slope of BC =

DC

BD

=

40−30

20

=2ms

−2

And acceleration =−2ms

−2

(4) Distance covered by the body between the 10th and 30th second

=20×20=400metres

Explanation:

This may help you

Answer 2

Solution:

Distance covered by a body from velocity-time graph is area under the graph.

• Henceforth, option (1) is correct!

Additional information:

→ In a velocity time graph, the slope of graph tell us about the acceleration. If the slope is high then the acceleration is positive, if the solve is low then the acceleration is negative and if the slope is parallel to time axis then there is no acceleration taking place!

→ In a velocity time graph if we have to find out the distance or displacement then we have to find out the area under the curve!

↪️ A v-t graph parallel to x axis, represents, uniform motion of a body that have a constant speed

↪️ The slope of D-T graph gives the _____ of the object in motion.

• The slope of Distance Time or Displacement Time graph give the speed of the object in motion.

↪️ Distance or displacement are same in the matter of graphs in motion

↪️ Speed and velocity are same in the matter of graphs in motion

↪️ The slope of V-T graph gives the _____ of the object in motion.

• The slope of Velocity Time graph give the acceleration of the object in motion.

↪️ The area under curve of V-T graph gives the _____ of the object in motion.

• The area under curve of Velocity Time graph gives the distance/displacement of the object in motion. $\:$