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Questions and Answers
A boy travels a circular distance of radius R, starting from point A and moving to point B. What is the ratio of the distance travelled to the displacement made by him?
What is the unit of velocity?
If the position of a particle is given by x = (4t² – 8t), what is true about its velocity and acceleration at t = 0?
A body moves with an acceleration of 2 m/s². If its velocity is 10 m/s after t seconds, what is the value of t?
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What is the speed of a boy who travels 3 km to a point B and returns to A in 2 hours?
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What is the unit of kinetic energy?
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Which option represents the smallest value that can be measured using an instrument?
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What is the numerical ratio of displacement to distance for a moving object?
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What does the area under velocity-time curve over a given interval of time represent?
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What is the acceleration of a body that starts from rest and travels for t seconds?
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Study Notes
Units and Dimensions
- A unit of time is a year.
- The supplementary unit is a solid angle, and its dimension is [L²].
Measurement and Instruments
- The smallest value measured using an instrument is known as the least count.
- The least count is a key aspect of measurement.
Kinetic Energy
- The dimension of kinetic energy is [ML²T⁻²].
Forces and Dimensions
- The dimensions of 'a' and 'b' in the force equation F = at + bt² are MLT⁻¹ and MLT⁻², respectively.
Significant Figures
- The numerical value with three significant figures is 5.055.
- The number of significant figures for the numbers 23.023, 0.0003, and 2.1×10⁻³ are 5, 5, and 2, respectively.
Motion and Displacement
- The numerical ratio of displacement to distance for a moving object is always less than or equal to 1.
- The area under the velocity-time curve over a given interval of time represents displacement.
- A body starts from rest and travels with uniform acceleration; the time of travel can be calculated using the displacement and acceleration.
Circular Motion
- A boy moves on a circular distance of radius R; the ratio of the distance traveled to the displacement made by him is π.
Position and Velocity
- The position of a particle is given by x = (4t² – 8t); the velocity and acceleration can be calculated from this equation.
- The velocity and acceleration can be zero at certain times.
Speed and Velocity
- The unit of velocity is m/s.
- The speed of a boy traveling from A to B and returning to A can be calculated using the total distance and time.
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