Which of the following situations can represent non-uniform motion of a particle?
A curved distance–time graph
To determine which situation can represent non-uniform motion of a particle, let's analyze each option:
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A horizontal line in a velocity–time graph: A horizontal line in a velocity-time graph indicates uniform velocity, meaning the speed is constant over time. This represents uniform motion and not non-uniform motion.
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Equal distances covered in equal intervals of time: This implies that the particle is moving with a constant speed, covering the same distance over each equal time period. This is also characteristic of uniform motion.
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A straight-line distance–time graph with constant slope: A straight-line graph implies a constant rate of distance covered over time, meaning the speed is constant. This indicates uniform motion as well.
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A curved distance–time graph: A curve in a distance-time graph indicates that the rate of distance covered is changing over time, implying that the speed of the particle varies throughout its motion. This is characteristic of non-uniform motion.
Therefore, the correct answer is a curved distance–time graph, which represents non-uniform motion because the slope of the graph (speed) is changing over time.
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Each of four particles move along an x-axis. Their coordinates (in meters) as functions of time (in seconds) are given by
1) particle 1: x (t) = 3.5 – 2.7 t3
2) particle 2: x (t) = 3.5 + 2.7 t3
3) particle 3: x (t) = 3.5 – 2.7 t2
4) particle 4: x (t) = 3.5 – 3.4t - 2.7 t2
Which of these particles have constant acceleration?
If water in a stream is flowing with a velocity of 20 kmph and a boat is travelling from one bank to another bank, if the velocity of boat in a direction perpendicular to direction of stream is 20 kmph and width of the stream is 2km, then the time taken and the angle at which boat makes with the direction stream is,
