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Question

Given plot describes the motion of an object with time.

Which one of the following statements is CORRECT?

The correct answer is
The object is accelerating.

To determine the correct statement that describes the motion of the object, we analyze the given plot of velocity versus time.

The plot illustrates how the velocity of an object changes with time. Let's evaluate each option:

  1. The object is moving with a constant velocity.
    • This statement suggests a straight horizontal line in the velocity-time graph. However, the graph is a straight line with a positive slope, not horizontal, so the velocity is not constant.
  2. The object covers equal distance every hour.
    • If the object covers equal distances every hour, the velocity would need to be constant (horizontal line in the velocity-time graph). However, the velocity is increasing, which means the distance covered each hour is also increasing.
  3. The object is accelerating.
    • Acceleration is defined as the change in velocity over time. The graph shows a positive slope indicating that velocity is increasing with time. This implies the object is accelerating.
  4. Velocity of the object doubles every hour.
    • Doubling velocity every hour would result in an exponential curve, not a straight line. The plot shows a linear increase, not exponential.

From the analysis above, it is clear that the correct statement is: The object is accelerating.

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Important Questions from Speed Time & Distance (Notes)

  1. Ajay walks at a speed of 4 km/hr. He doubles his speed after reaching exactly half way. He walks for 12 hours in all. What is the total distance travelled by him ?
  2. With a certain set of diameters, a tractor's front wheels make 2 revolutions (revs) for every 1 revolution of the rear wheels. The effect of changing wheel diameter(s) is shown in the following plot. 

     In this context, which of the following statements is CORRECT?

  3. A train travels from Karnal to Kurukshetra at a speed of $90$ km/hr and returns at a speed of $92$ km/hr. If it takes $182$ hours for total travel, then find the distance between Karnal to Kurukshetra. (In Km)
  4. A car covers 4 successive stretches of 3 km each at speed of 10 kmph, 20 kmph, 30 kmph and 60 kmph respectively. The average speed of the car for the entire journey is:

  5. A cyclist travels at 18 km/hr for 2.5 hours. What distance does he cover?
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