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प्रश्न
State the type of motion represented by the following sketches in Figures.
Give an example of each type of motion.
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उत्तर
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Type of Motion:Uniform Acceleration
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The graph shows a straight line with a positive slope, indicating that velocity increases at a constant rate over time.
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This means the object is accelerating uniformly.
Example:
A car increasing its speed steadily on a straight road (e.g., from 0 km/h to 60 km/h in 10 seconds at a constant rate). -
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Type of Motion: Non-Uniform Retardation (Deceleration)
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The graph shows a curved line with a decreasing slope, indicating that velocity is decreasing over time, but not at a constant rate.
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This means the object is slowing down, and the rate of slowing down is changing.
Example:
A bicycle coming to a stop when brakes are applied gently and gradually. -
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संबंधित प्रश्न
Figure shows the velocity-time graphs for two cars A and B moving in the same direction. Which car has greater acceleration? Give reasons to your answer.
A vehicle is accelerating on a straight road. Its velocity at any instant is 30 km/h. After 2 s, it is 33.6 km/h, and after further 2 s, it is 37.2 km/h. Find the acceleration of the vehicle in m s-2. Is the acceleration uniform?
Draw velocity – time graph for the following situation:
When a body is moving with variable velocity, but uniform retardation.
A cyclist driving at 5 ms−1, picks a velocity of 10 ms−1, over a distance of 50 m. Calculate
- acceleration
- time in which the cyclist picks up above velocity.
An aeroplane lands at 216 kmh−1 and stops after covering a runway of 2 m. Calculate the acceleration and the time, in which it comes to rest.
A truck running at 90 kmh−1, is brought to rest over a distance of 25 m. Calculate the retardation and time for which brakes are applied.
A racing car, initially at rest, picks up a velocity of 180 kmh−1 in 4.5 s. Calculate
- acceleration
- distance covered by the car.
A motor bike running at 5 ms−1, picks up a velocity of 30 ms−1 in 5s. Calculate
- acceleration
- distance covered during acceleration.
A bus can accelerate with an acceleration of 1 m/s2 . Find the minimum time for the bus to attain the speed of 100 km/s from 50 km /s.
Assertion: When a body is subjected to a uniform acceleration, it is always moving in a straight line.
Reason: Motion may be straight-line motion or circular motion.
