AP EAMCET201922 Apr 2019Morning ShiftPhysicsMotion in One DimensionActual
A body travelling along a straight line path travels first half of the distance with a velocity (7 ~ms ⁻¹ ). During the travel time of the second half of the distance, first half time is travelled with a velocity (14 ~ms ⁻¹ ) and the second half time is travelled with a velocity (21 ~ms ⁻¹ ). Then the average velocity of the body during the journey is
Options
- A(14 ~ms ⁻¹ )
- B(10 ~ms ⁻¹ )
- C(9 ~ms ⁻¹ )
- D(12 ~ms ⁻¹ )
Correct answer
B. (10 ~ms ⁻¹ )
Step-by-step solution
According to the question, Given, a body travelling along a straight line path. Body travels first half of the distance ((A ) to (B )) with velocity, (v₁=7 ~m / s ) Body travels second half of the distance ( (B ) to (C )) in first half time with velocity, (v₂=14 ~m / s ) and in the second half time with velocity, (v₃=21 ~m / s ) Let the time taken to travelled from (A ) to (B=t ) second Now, distance covered from (A ) to (B=d_ A B ) ( ) Distance, (d= ) Velocity ( ) Time ( d_ A B =7 t )...(i) Now, distance covered f