State two differences that might be seen in the graph if there had been a strong wind opposing the runners in the race.
Answer
641.7k+ views
Hint: Velocity is rate of change of displacement with respect to the time. For a particular path we can define instantaneous velocity and average velocity. Velocity at a particular time instant is called instantaneous velocity and velocity over a certain duration of time is average velocity. Speed is the magnitude of velocity. In the given plot we will find out what is the variation of speed to answer this question.
Formula used:
$a = \dfrac{{dv}}{{dt}}$
Complete step-by-step answer:
Acceleration is the rate of change of the velocity. Both velocity and acceleration are the vectors.
$a = \dfrac{{dv}}{{dt}}$ where ‘a’ is an acceleration and ‘v’ is the velocity and ‘t’ is the time
If we clearly see the plot given below the plot is made between the speed of the person and time. We have to assume that there is a cross wind which will obstruct the man who is running. The slope of the below plot gives us the magnitude of acceleration as speed is the magnitude of velocity. Due to the opposing wind the man will face the opposing force and he will slow down. His acceleration will reduce and automatically the slope of the plot below upto 3 seconds will reduce.
After three second the curve has steepen down and if there is opposing wind force then the curve will steep down below the 8 meter per second itself.
More over the time taken to finish the race will increase as speed is reduced and the acceleration is decreased.
Hence these will be the changes that happen.
Note: If we are asked to find out the time instant where instantaneous acceleration of a particle is zero then we should find out a point where slope of the speed time graph will be equal to zero as slope is nothing but the rate of change of speed with respect to time which gives magnitude of instantaneous acceleration. Even though acceleration is vector If the magnitude of it is zero, then the entire acceleration vector will be zero.
Formula used:
$a = \dfrac{{dv}}{{dt}}$
Complete step-by-step answer:
Acceleration is the rate of change of the velocity. Both velocity and acceleration are the vectors.
$a = \dfrac{{dv}}{{dt}}$ where ‘a’ is an acceleration and ‘v’ is the velocity and ‘t’ is the time
If we clearly see the plot given below the plot is made between the speed of the person and time. We have to assume that there is a cross wind which will obstruct the man who is running. The slope of the below plot gives us the magnitude of acceleration as speed is the magnitude of velocity. Due to the opposing wind the man will face the opposing force and he will slow down. His acceleration will reduce and automatically the slope of the plot below upto 3 seconds will reduce.
After three second the curve has steepen down and if there is opposing wind force then the curve will steep down below the 8 meter per second itself.
More over the time taken to finish the race will increase as speed is reduced and the acceleration is decreased.
Hence these will be the changes that happen.
Note: If we are asked to find out the time instant where instantaneous acceleration of a particle is zero then we should find out a point where slope of the speed time graph will be equal to zero as slope is nothing but the rate of change of speed with respect to time which gives magnitude of instantaneous acceleration. Even though acceleration is vector If the magnitude of it is zero, then the entire acceleration vector will be zero.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

What do you mean by retardation What is its SI uni class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Difference between physical and chemical change class 11 chemistry CBSE

