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Questions and Answers
When a particle moves from position O to position B, its displacement is 3 m.
When a particle moves from position O to position B, its displacement is 3 m.
True (A)
The distance travelled by a particle is always negative or zero.
The distance travelled by a particle is always negative or zero.
False (B)
Velocity is defined as the rate of change of position with respect to distance.
Velocity is defined as the rate of change of position with respect to distance.
False (B)
The magnitude of a particle's velocity is the speed of that particle.
The magnitude of a particle's velocity is the speed of that particle.
If a particle moves from position A to B at constant velocity, the velocity-time graph will be a straight horizontal line.
If a particle moves from position A to B at constant velocity, the velocity-time graph will be a straight horizontal line.
The constant velocity of the particle between time t = 1 and t = 4 is 2 m/s.
The constant velocity of the particle between time t = 1 and t = 4 is 2 m/s.
The displacement of the particle from A to B is positive when moving from x(1) = 3 m to x(4) = -3 m.
The displacement of the particle from A to B is positive when moving from x(1) = 3 m to x(4) = -3 m.
The time taken for the stone to return to the ground after being launched is 4 seconds.
The time taken for the stone to return to the ground after being launched is 4 seconds.
A particle experiencing constant acceleration has its velocity change at a constant rate.
A particle experiencing constant acceleration has its velocity change at a constant rate.
The maximum height reached by the stone launched upwards with an initial velocity of 30 m/s is less than 45 meters.
The maximum height reached by the stone launched upwards with an initial velocity of 30 m/s is less than 45 meters.
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Study Notes
Position, Displacement, and Distance
- Position: Refers to the location of an object on a coordinate system.
- Displacement: The change in an object's position. It's a vector quantity, meaning it has both magnitude and direction.
- Distance: The total length of the path traveled by an object. It's a scalar quantity, meaning it only has magnitude.
Velocity and Displacement
- Velocity: The rate of change of an object's position with respect to time. It's a vector quantity with both magnitude (speed) and direction.
- Constant Velocity: When an object moves with a constant velocity, its position-time graph is a straight line with a non-zero gradient.
- Velocity-Time Graph: The area under the curve of a velocity-time graph represents the displacement of the object.
Acceleration
- Constant Acceleration: When an object's velocity changes at a constant rate.
- Acceleration-Time Graph: The area under the curve of an acceleration-time graph represents the change in velocity.
Constant Acceleration Formulas
- Equations of Motion: There are five fundamental equations used to describe motion with constant acceleration. These equations relate displacement, initial velocity, final velocity, acceleration, and time.
- Key Formulas: The specific equations are:
- v = u + at
- s = ut + ½at²
- v² = u² + 2as
- s = ½(u + v)t
- s = vt - ½at²
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