motorcycle travels due south covering a total distance of 80.0 kilometers in 60.

Question

motorcycle travels due south covering a total distance of 80.0 kilometers in 60.0 minutes. Which one of the allowing statements concerning this situation is necessarily true? A) The velocity of the motorcycle throughout the trip is constant. B) The velocity of the motorcycle changes several times during the trip. C) The motorcycle traveled 40.0 kilometers during the first 30.0 minutes. D) The speed of the motorcycle must be 80.0 kilometers per hour throughout the entire trip. E) The average velocity of the motorcycle is 80.0 kilometers per hour, due south.

Explanation / Answer

The correct answer is option (E)

Reason:-

(a)In the above Question,it is not mention that speed is constant anywhere,so option (A) will not satisfied necessarily true condition..

(b)It may be or may be not possible that velocity will changes several time,so option (B) also will not satisfy necessarily true condition.

(c)In above question it is not mention that motor cycle travel a distance with a constant time interval,so option (C) also will not satisfy necessarily true condition.

(d)In the option (D) speed of motorcycle is described which might be vary or not,so  option (D) will also not satisfy necessarily true condition.

(e)in the last option it is mention that average velocity, as we know

average velocity = sum of total distance travelled /total time taken

thus in above ques it is given that

Total Distance travel = 80 Km(in south)

Total time taken = 60 min(equivalent to 1hour)

now,

Average velocity = 80 km / 1 hr

= 80km/hr

Here,

Option (E) is necessarily true condition.

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