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QUESTION IMAGE

the graph shows the motion of a car. which segment shows that the car i…

Question

the graph shows the motion of a car. which segment shows that the car is slowing down?
a
b
c
d

Explanation:

Brief Explanations

To determine when a car is slowing down on a velocity - time graph, we use the principle that if the velocity of the object is decreasing as time passes, the object is slowing down.

  • For segment A: The velocity is increasing from 0 to 30 m/s as time goes from 0 to 1 second, so the car is speeding up.
  • For segment B: The velocity remains constant at 30 m/s from 1 to 3 seconds, so the car has a constant speed (acceleration is zero).
  • For segment C: The velocity decreases from 40 m/s to 10 m/s as time goes from 5 to 7 seconds. Since the velocity is getting smaller, the car is slowing down.
  • For segment D: The velocity remains constant at 10 m/s from 6 to 7 seconds, so the car has a constant speed.
  • For segment E: The velocity decreases from 40 m/s to 20 m/s as time goes from 9 to 10 seconds. But among the options given (A, B, C, D), segment C is the one that shows a decrease in velocity (slowing down) and is one of the options. Wait, actually, looking at the options, the question has options A, B, C, D. Wait, maybe I misread. Wait, the graph: Let's re - check. Wait, segment C: from time 5 to 7, velocity goes from 40 to 10? Wait, no, at time 5, velocity is 40, then at time 6, it drops to 10? Wait, no, the graph: at time 5, velocity is 40, then from 5 to 7, it goes down to 10? Wait, no, the time axis: 0 - 10 seconds. Let's look at each segment:
  • Segment A: 0 - 1s, velocity from 0 to 30: speeding up.
  • Segment B: 1 - 3s, velocity constant at 30: constant speed.
  • Segment C: 5 - 7s? Wait, no, after segment B (1 - 3s), from 3 - 4s, velocity goes up to 40, then 4 - 5s, constant at 40 (maybe another segment, but the labeled segments are A, B, C, D, E). Wait, the labeled segments: A is 0 - 1, B is 1 - 3, C is 5 - 7? Wait, no, the graph: at time 5, velocity is 40, then from 5 to 7, it goes down to 10 (segment C), then D is 6 - 7? No, D is from 6 - 7, velocity constant at 10. Then from 7 - 9, velocity goes up to 40, then 9 - 10, E: velocity down to 20. But the options are A, B, C, D. So among A, B, C, D:
  • A: speeding up.
  • B: constant speed.
  • C: velocity decreasing (from 40 to 10), so slowing down.
  • D: constant speed.

So the segment that shows the car slowing down is C.

Answer:

C