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A car moving on a straight-line travels in same direction half of the distance with uniform velocity \(v_1\) and other half of the distance with uniform velocity \(v_2.\) The average velocity of the car is equal to:
1. \(\dfrac{2v_1v_2}{v_1+v_2}\) 2. \(\dfrac{v_1+v_2}{2}\)
3. \(v_1+v_2\) 4. \(\sqrt{v_1+v_2}\)
Subtopic:  Average Speed & Average Velocity |
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A car travels \(4\text{ km}\) distance with a speed of \(3\text{ km/h}\) and next \(4\text{ km}\) with a speed of \(5\text{ km/h}.\) What is the average speed of the car?

1. \(\dfrac{15}{2}\text{ km/hr}\)

2. \(\dfrac{15}{4}\text{ km/hr}\)

3. \(15\text{ km/hr}\)

4. \(10\text{ km/hr}\)
Subtopic:  Average Speed & Average Velocity |
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Buses ply between two towns, \((A,B)\) separated by \(6~\text{km:} \) those going from \(A\) towards \(B\) go at \(20~\text{km/h} \) while those going from \(B\) to \(A\) go at \(30~\text{km/h}.\) If a passenger were to make a round trip from \(A\) to \(B\) and back, without stopping, his average speed will be:


1. \(25~\text{km/h}\)
2. \(24~\text{km/h}\)
3. \(27~\text{km/h}\)
4. \(28~\text{km/h}\)
Subtopic:  Average Speed & Average Velocity |
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A vehicle travels east for \(6~\text{km},\) then south for \(8~\text{km}\) & without stopping. If the trip takes \(15~\text{min}\), what is the magnitude of the average velocity in \(\text{km/h}\)?
1. \(40\) 2. \(20\)
3. \(56\) 4. \(14\)
Subtopic:  Average Speed & Average Velocity |
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A boy swims in \(100\) m long pond. He covers \(40\) m distance with speed of \(10\) m/s and next \(60\) m with speed of \(20\) m/s. The average speed of the boy is:
1. \(14.3\) m/s
2. \(9.6\) m/s
3. \(12.5\) m/s
4. \(19.5\) m/s
Subtopic:  Average Speed & Average Velocity |
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The numerical ratio of average velocity to average speed is:
1. equal to one 2. greater than one
3. less than one 4. equal to or less than one
Subtopic:  Average Speed & Average Velocity |
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The diagram shows the motion of a ball undergoing uniform acceleration. The position of the ball at the end of each second is marked.
                           
What is the average speed of the ball between \(3~\text{s}\) and \(4~\text{s}\text{?}\)
1. \(3.0~\text{cm/s}\) 2. \(7.0~\text{cm/s}\)
3. \(3.5~\text{cm/s}\) 4. \(4.0~\text{cm/s}\)
Subtopic:  Average Speed & Average Velocity |
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A car travels a distance \(AB\) in three equal segments: the first third at a velocity of \(v_1~\text{m/s},\) the second third at \(v_2~\text{m/s},\) and the final third at \(v_3~\text{m/s}.\) Given that \(v_3 = 3v_1 , ~v_2 = 2v_1\) and \(v_1 = 11~\text{m/s} ,\) the average velocity of the car is:
1. \(12~\text{m/s}\) 2. \(18~\text{m/s}\)
3. \(16~\text{m/s}\) 4. \(11~\text{m/s}\)
Subtopic:  Average Speed & Average Velocity |
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The velocity-time \((v\text-t)\) graph of a body moving along the \(x\text-\)axis is shown in the figure. The average speed during the first six seconds of motion is:
1. \(10\) m/s 2. \(12\) m/s
3. \(15\) m/s 4. \(20\) m/s
Subtopic:  Average Speed & Average Velocity |
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