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An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)?
Most Upvoted Answer
An object is thrown vertically upwards and reaches a height of 78.4m.c...
Given data:
- Height reached by the object = 78.4 m
- Acceleration due to gravity = 9.8 m/s²
To find:
- Velocity at which the object was thrown
Formula:
The formula to calculate the velocity of an object thrown vertically upwards is given by:
v² = u² + 2as
where,
v = final velocity (0 m/s at the highest point)
u = initial velocity (unknown)
a = acceleration due to gravity (-9.8 m/s²)
s = displacement (78.4 m)
Calculation:
Using the given formula, we can rearrange it to solve for the initial velocity (u):
0 = u² + 2(-9.8)(78.4)
Simplifying further:
0 = u² - 1534.08
Adding 1534.08 to both sides of the equation:
u² = 1534.08
Taking the square root of both sides:
u = ±√1534.08
Since the object is thrown upwards, the initial velocity (u) should be positive. Therefore:
u ≈ +39.16 m/s
Answer:
The velocity at which the object was thrown is approximately 39.16 m/s.
- Height reached by the object = 78.4 m
- Acceleration due to gravity = 9.8 m/s²
To find:
- Velocity at which the object was thrown
Formula:
The formula to calculate the velocity of an object thrown vertically upwards is given by:
v² = u² + 2as
where,
v = final velocity (0 m/s at the highest point)
u = initial velocity (unknown)
a = acceleration due to gravity (-9.8 m/s²)
s = displacement (78.4 m)
Calculation:
Using the given formula, we can rearrange it to solve for the initial velocity (u):
0 = u² + 2(-9.8)(78.4)
Simplifying further:
0 = u² - 1534.08
Adding 1534.08 to both sides of the equation:
u² = 1534.08
Taking the square root of both sides:
u = ±√1534.08
Since the object is thrown upwards, the initial velocity (u) should be positive. Therefore:
u ≈ +39.16 m/s
Answer:
The velocity at which the object was thrown is approximately 39.16 m/s.
Community Answer
An object is thrown vertically upwards and reaches a height of 78.4m.c...
It's 39.2m/s
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An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)?
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An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)?.
An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is thrown vertically upwards and reaches a height of 78.4m.calculate the velocity at which the object was thrown?(g=9.8m/s²)?.
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