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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. A and B have to travel from place P to place Q following the same route in their respective cars. A drives at $60$ kmph while B drives at $80$ kmph. Find the time taken by B to reach place Q if A takes $12$ hrs.

  2. On a straight road, a bus is $60$ km ahead of a car running in the same direction. After $3$ hours, the car is $90$ km ahead of the bus. If the speed of the bus is $45$ km/h, then what is the speed of the car (in km/h)?

  3. A train running at the speed of $90$ kmph crosses a $250$ m long platform in $26$ seconds. What is the length of the train (in m)?

  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 car travels a total distance L. It travels half the distance with speed $v_1$ and the other half with speed $v_2$. The average speed of the car is :
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