2. In the following figure of velocity-time graph for the motion of the body, the total distance covered by the body from 3 s to 7 s is 127 10 С C Velocity (m/s) 8 6 B 4 2- 0 A D 1 2 3 4 5 6 7 8 9 10 Time (s) alam (b)56 m (c) 14 m (d) 35 m
Answers
Answer:
a opption is my answer ok
Distance covered between 3s to 7s is (a) 28 metres.
What is velocity?
Velocity is the rate of change in position of a body with respect to time. It is a vector quantity which means it has magnitude as well as direction.
What is distance?
Distance is the total path covered by the body in the given time interval. It is a scalar quantity which means it gives the magnitude of displacement of the body.
What is the relation between velocity, distance and time?
- Velocity is the distance per unit time.
- Velocity = displacement/time
- Velocity is given in metre/second, distance is given in metre and time is expressed in seconds.
Calculation:
In the given figure, the area under the velocity-time curve gives the total distance covered by the body.
From the figure below, the area covered by the slope curve from time= 3 seconds to 7 seconds will give the distance covered by the body from 3s to 7s.
- So, distance covered between 3s to 7s = Area of AQPB
- AQPB is a trapezium and its area = 1/2*(QA+PB)*AB = 1/2*(4+10)*4 = 14*2 = 28 metre.
Answer:
Therefore, distance covered between 3s to 7s is (a) 28 metres.
Your question is incomplete, you might be referring to the question below:
In the following figure of velocity-time graph for the motion of the body, the total distance covered by the body from 3 s to 7 s is
(a) 28 m
(b) 56 m
(c) 14 m
(d) 35 m
