Motion Worksheet-17
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(a) Define velocity. What is the SI unit of velocity?
(b) What is the difference between speed and velocity?
(c) Convert a speed of 54 km/h into m/s.
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(a) What is meant by the term ‘acceleration’? State the SI unit of acceleration.
(b) Define the term ‘uniform acceleration’. Give one example of a uniformly accelerated motion.
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The distance between Delhi and Agra is 200 km. A train travels the first 100 km at a speed of 50 km/h. How fast must the train travel the next 100 km, so as to average 70 km/h for the whole journey?
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A train travels the first 15 km at a uniform speed of 30 km/h; the next 75 km at a uniform speed of 50 km/h; and the last 10 km at a uniform speed of 20 km/h. Calculate the average speed for the entire train journey.
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A car is moving along a straight road at a steady speed. It travels 150 m in 5 seconds:
(a) What is its average speed?
(b) How far does it travel in 1 second?
(c) How far does it travel in 6 seconds?
(d) How long does it take to travel 240 m?
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A body is moving along a circular path of radius R. What will be the distance travelled and displacement of the body when it completes half a revolution?
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If on a round trip you travel 6 km and then arrive back home :
(a) What distance have you travelled?
(b) What is your final displacement?
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A body travels a distance of 3 km towards East, then 4 km towards North and finally 9 km towards East.
(i) What is the total distance travelled?
(ii) What is the resultant displacement?
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A boy walks from his classroom to the bookshop along a straight corridor towards North. He covers a distance of 20 m in 25 seconds to reach the bookshop. After buying a book, he travels the same distance in the same time to reach back in the classroom. Find (a) average speed, and (b) average velocity, of the boy.
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A car travels 100 km at a speed of 60 km/h and returns with a speed of 40 km/h. Calculate the average speed for the whole journey.
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A ball hits a wall horizontally at 6.0 m/s–1. It rebounds horizontally at 4.4 m/s–1. The ball is in contact with the wall for 0.040 s. What is the acceleration of the ball?
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(a) What remains constant in uniform circular motion?
(b) What changes continuously in uniform circular motion?
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State whether the following statement is true of false :
Earth moves round the sun with uniform velocity.
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A body goes round the sun with constant speed in a circular orbit. Is the motion uniform or accelerated?
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What conclusion can you draw about the acceleration of a body from the speed-time graph shown below :
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Name the quantity which is measured by the area occupied under the velocity-time graph.
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What does the slope of a speed-time graph indicate?
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What does the slope of a distance-time graph indicate?
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Give one example of a motion where an object does not change its speed but its direction of motion changes continuously.
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Name the type of motion in which a body has a constant speed but not constant velocity.
Answer:
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Rate of change of position i.e. rate of displacement with time is called velocity.
Speed is a scalar quantity and velocity is a vector quantity.
(c) 15 m/s
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–
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116.6 km/h
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40 km/h
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(a) 30 m/s (b) 30 m (c) 180 m (d) 8 s
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πR; 2R
1. Suppose the particle traveled only from A to B. Then distance = πr, but displacement = 2r.
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(a) 6 km (b) zero
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(i) 16 km (ii) 12.6 km
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Average speed = 0.8 m/s; Average velocity = 0 m/s as displacement is zero.
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48 km/h
2 × 60 × 40/(60 + 40)
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-260 ms–2
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(a) Speed (b) Direction of motion
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false
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Accelerated
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Non-uniform acceleration
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Distance travelled by the moving body
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Acceleration
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Speed
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Movement around a circular track.
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Uniform circular motion