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The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is?
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The equation of trajectory of a projectile is y is equal to 10 x minus...
Calculation of Range of a Projectile
The given equation of the trajectory of a projectile is y = 10x - 5/9x2, where g = 10m/s2.
Finding the Maximum Height
To find the maximum height of the projectile, we need to differentiate the given equation of the trajectory with respect to x and equate it to zero.
dy/dx = 10 - (10/3)x
Equating it to zero, we get:
10 - (10/3)x = 0
x = 3
Substituting x = 3 in the given equation of the trajectory, we get:
y = 15
Therefore, the maximum height of the projectile is 15m.
Finding the Range
To find the range of the projectile, we need to find the values of x when y = 0. We can do this by solving the given equation of the trajectory for x when y = 0.
0 = 10x - 5/9x2
0 = x(10 - 5/9x)
x = 0 or x = 18/5
Therefore, the range of the projectile is 18/5m or 3.6m (approx).
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The equation of trajectory of a projectile is y is equal to 10 x minus...
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The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is?
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The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is? 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 The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is?.
The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is? 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 The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of trajectory of a projectile is y is equal to 10 x minus 5 by 9 x square if we assume g is equal to 10 m per second then the range of projectile in meter is?.
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