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Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal?
Most Upvoted Answer
Find the average velocity of a projectile between the instants it cros...
Problem:
Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal?
Solution:
Step 1: Find maximum height
The maximum height of the projectile can be found using the formula:
H = (u^2*sin^2(theta))/(2g)
Step 2: Find the time taken to reach half the maximum height
The time taken to reach half the maximum height can be found using the formula:
t = (u*sin(theta))/g
Let T be the total time taken for the projectile to reach the maximum height and come back to the ground. Therefore, the time taken to reach half the maximum height is T/2.
Step 3: Find the horizontal displacement at half the maximum height
The horizontal displacement at half the maximum height can be found using the formula:
X = (u^2*sin(theta)*cos(theta))/g
Step 4: Find the vertical velocity at half the maximum height
The vertical velocity at half the maximum height can be found using the formula:
V = u*sin(theta)/2
Step 5: Find the average velocity
The average velocity can be found using the formula:
Vavg = X/(T/2)
Therefore, the average velocity of the projectile between the instants it crosses half the maximum height is:
Vavg = (u^2*sin(theta)*cos(theta))/g*T
where T = 2*(u*sin(theta))/g is the total time taken for the projectile to reach the maximum height and come back to the ground.
Community Answer
Find the average velocity of a projectile between the instants it cros...
Average velocity=displacement/time taken displacement=h/2,time taken can be find ,. h/2=u sin theta -1/2gt2 k,kinematic equation
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Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal?
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Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal? 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 Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal?.
Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal? 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 Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with speed u at an angle 'theta' with the horizontal?.
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