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A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds?
Most Upvoted Answer
A particle at time t is equal to zero started with initial velocity of...
So in this question basically,
u=8m/s
a=retardation,as it is opposite to velocity so it will become=-2m/s^2
time interval is t=3 to t=6sec
average speed =total distance/total time
s=ut+0.5at^2(time =3sec given ,hint)
8*3 +0.5*-2*3*3=15m
now avg.speed=15/6(total time)
5/3 is ans
thanku
u=8m/s
a=retardation,as it is opposite to velocity so it will become=-2m/s^2
time interval is t=3 to t=6sec
average speed =total distance/total time
s=ut+0.5at^2(time =3sec given ,hint)
8*3 +0.5*-2*3*3=15m
now avg.speed=15/6(total time)
5/3 is ans
thanku
Community Answer
A particle at time t is equal to zero started with initial velocity of...
Given Data:
Initial velocity (u) = 8 m/s
Acceleration (a) = -2 m/s^2
Time interval: 3 seconds to 6 seconds
Calculating the Final Velocity:
Using the formula: v = u + at
At t = 3 seconds:
v = 8 + (-2) * 3
v = 8 - 6
v = 2 m/s
At t = 6 seconds:
v = 8 + (-2) * 6
v = 8 - 12
v = -4 m/s
Calculating the Average Speed:
Average speed is given by the total distance traveled divided by the total time taken.
Distance Traveled:
The particle starts from rest, so the distance traveled is the area under the velocity-time graph.
Area of the trapezium = 1/2 * (u + v) * t
At t = 3 seconds:
Distance = 1/2 * (8 + 2) * 3
Distance = 30 m
At t = 6 seconds:
Distance = 1/2 * (2 + (-4)) * 3
Distance = 3 m
Total Distance = 30 + 3 = 33 m
Total Time Taken:
Total time = 6 - 3 = 3 seconds
Average Speed:
Average speed = Total Distance / Total Time
Average speed = 33 / 3
Average speed = 11 m/s
Therefore, the average speed of the particle between the interval t = 3 seconds to t = 6 seconds is 11 m/s.
Initial velocity (u) = 8 m/s
Acceleration (a) = -2 m/s^2
Time interval: 3 seconds to 6 seconds
Calculating the Final Velocity:
Using the formula: v = u + at
At t = 3 seconds:
v = 8 + (-2) * 3
v = 8 - 6
v = 2 m/s
At t = 6 seconds:
v = 8 + (-2) * 6
v = 8 - 12
v = -4 m/s
Calculating the Average Speed:
Average speed is given by the total distance traveled divided by the total time taken.
Distance Traveled:
The particle starts from rest, so the distance traveled is the area under the velocity-time graph.
Area of the trapezium = 1/2 * (u + v) * t
At t = 3 seconds:
Distance = 1/2 * (8 + 2) * 3
Distance = 30 m
At t = 6 seconds:
Distance = 1/2 * (2 + (-4)) * 3
Distance = 3 m
Total Distance = 30 + 3 = 33 m
Total Time Taken:
Total time = 6 - 3 = 3 seconds
Average Speed:
Average speed = Total Distance / Total Time
Average speed = 33 / 3
Average speed = 11 m/s
Therefore, the average speed of the particle between the interval t = 3 seconds to t = 6 seconds is 11 m/s.
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A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds?
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A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds?.
A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle at time t is equal to zero started with initial velocity of 8 metre per second from a point and moves with a constant acceleration of 2 metre per second square opposite to the velocity find the average speed of the particle between the interval t is equal to 3 seconds to equal to 6 seconds?.
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