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A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?
Most Upvoted Answer
A particle is projected from origin with velocity (4i+9j) .the acceler...
Given:
- Initial velocity of the particle, v0 = 4i + 9j
- Constant acceleration, a = -10j
To find:
- Magnitude of velocity after one second
Approach:
To find the magnitude of velocity after one second, we can use the equations of motion.
Equations of motion:
1. v = u + at
2. v2 = u2 + 2as
Solution:
1. Calculating the velocity after one second using equation 1:
Initial velocity, u = 4i + 9j
Acceleration, a = -10j
Time, t = 1 second
Using equation 1: v = u + at
v = (4i + 9j) + (-10j)
v = 4i - j
2. Finding the magnitude of velocity after one second:
The magnitude of a vector is given by the formula: |v| = √(vx2 + vy2)
Given v = 4i - j
vx = 4
vy = -1
Using the magnitude formula: |v| = √(42 + (-1)2)
|v| = √(16 + 1)
|v| = √17
Therefore, the magnitude of velocity after one second is √17.
Summary:
The magnitude of velocity after one second for a particle projected from the origin with initial velocity (4i + 9j) and constant acceleration (-10j) is √17.
- Initial velocity of the particle, v0 = 4i + 9j
- Constant acceleration, a = -10j
To find:
- Magnitude of velocity after one second
Approach:
To find the magnitude of velocity after one second, we can use the equations of motion.
Equations of motion:
1. v = u + at
2. v2 = u2 + 2as
Solution:
1. Calculating the velocity after one second using equation 1:
Initial velocity, u = 4i + 9j
Acceleration, a = -10j
Time, t = 1 second
Using equation 1: v = u + at
v = (4i + 9j) + (-10j)
v = 4i - j
2. Finding the magnitude of velocity after one second:
The magnitude of a vector is given by the formula: |v| = √(vx2 + vy2)
Given v = 4i - j
vx = 4
vy = -1
Using the magnitude formula: |v| = √(42 + (-1)2)
|v| = √(16 + 1)
|v| = √17
Therefore, the magnitude of velocity after one second is √17.
Summary:
The magnitude of velocity after one second for a particle projected from the origin with initial velocity (4i + 9j) and constant acceleration (-10j) is √17.
Community Answer
A particle is projected from origin with velocity (4i+9j) .the acceler...
Use v=u + at whr we need to find v and time t=1 'u' is given 4i+9j nd a=-10 j...substitute in the equation...v= (4i+9j)-(10j)(1)..v= 4i-1j...
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A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?
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A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?.
A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is projected from origin with velocity (4i+9j) .the acceleration in the region is constant and-10j the magnitude of velocity after one second is.?.
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