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A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units?
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A body with initial velocity of 18 km acceleration uniformly at the ra...
Calculation of Final Velocity of a Body with Uniformly Accelerating Motion
Initial velocity (u) = 18 km/hr = 5 m/s
Acceleration (a) = 9 cm/s²
Distance (s) = 200 m
We know that,
v² = u² + 2as
where,
v = final velocity
u = initial velocity
a = acceleration
s = distance
Converting initial velocity into SI unit:
u = 18 km/hr = 18 × 1000 m/3600 s = 5 m/s
Putting the given values in the formula:
v² = (5)² + 2(0.09)(200)
v² = 25 + 36
v² = 61
v = √61 m/s
Therefore, the final velocity of the body is √61 m/s.
When a body is moving with a uniform acceleration, its final velocity can be calculated using the formula v² = u² + 2as. In this formula, v is the final velocity, u is the initial velocity, a is the acceleration and s is the distance travelled by the body.
In the given problem, the initial velocity of the body is 18 km/hr, which is converted into SI unit of m/s. The acceleration of the body is given as 9 cm/s² and the distance travelled by the body is 200 m.
By putting these values in the formula v² = u² + 2as, we can calculate the final velocity of the body. After simplification, we get the final velocity of the body as √61 m/s.
Therefore, the final velocity of the body is √61 m/s.
Given:
Initial velocity (u) = 18 km/hr = 5 m/s
Acceleration (a) = 9 cm/s²
Distance (s) = 200 m
Calculating Final Velocity:
We know that,
v² = u² + 2as
where,
v = final velocity
u = initial velocity
a = acceleration
s = distance
Converting initial velocity into SI unit:
u = 18 km/hr = 18 × 1000 m/3600 s = 5 m/s
Putting the given values in the formula:
v² = (5)² + 2(0.09)(200)
v² = 25 + 36
v² = 61
v = √61 m/s
Therefore, the final velocity of the body is √61 m/s.
Explanation:
When a body is moving with a uniform acceleration, its final velocity can be calculated using the formula v² = u² + 2as. In this formula, v is the final velocity, u is the initial velocity, a is the acceleration and s is the distance travelled by the body.
In the given problem, the initial velocity of the body is 18 km/hr, which is converted into SI unit of m/s. The acceleration of the body is given as 9 cm/s² and the distance travelled by the body is 200 m.
By putting these values in the formula v² = u² + 2as, we can calculate the final velocity of the body. After simplification, we get the final velocity of the body as √61 m/s.
Therefore, the final velocity of the body is √61 m/s.
Community Answer
A body with initial velocity of 18 km acceleration uniformly at the ra...
Given,
u = 18km/h = 18*1000/3600 m/s = 5m/s
a = 9cm/s² = 9*0.01 m/s² = 0.09m/s²
s = 200m
v = ?
v² = u²+2as
v² = 5²+2(0.09)(200)
v² = 25+36
v² = 61
v = √61
v =7.81 m/s
u = 18km/h = 18*1000/3600 m/s = 5m/s
a = 9cm/s² = 9*0.01 m/s² = 0.09m/s²
s = 200m
v = ?
v² = u²+2as
v² = 5²+2(0.09)(200)
v² = 25+36
v² = 61
v = √61
v =7.81 m/s
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A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units?
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A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units? 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 A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units?.
A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units? 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 A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body with initial velocity of 18 km acceleration uniformly at the rate of 9 cm/s over a distance of 200 m. calculate the final velocity in S.I units?.
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