ASSIGNMENT 1 CHAPTER : MOTION An object is moving in a circle of radius r. Calculate the distance and displacement a) When it completes half the circle. b) When it completes one full circle. A body thrown vertically upwards reaches a maximum height h. It then returns to ground. Calculate the distance travelled and the displacement. A body travels a distance of 15 m from A to B and then moves a distance of 20 m at right angles to AB. Calculate the total distance travelled and the displacement. A Particle is moving in a circle of diameter 5 m. Calculate the distance covered and the displacement when it complete 3 revolutions. In a long distance race, the athletes were expected to take four rounds of the track such that the line of finish was same as the line of start. Suppose the length of the track was 200 m a) What is the total distance to be covered by the athletes? b) What is the displacement of the athletes when they touch the finish line? c) Is the motion of the athletes uniform or non-uniform ? d) Is the displacement of an athlete and the distance moved by him at the end of the race equal?
Answers
Question 1 :
An object is moving in a circle of radius r. Calculate the distance and displacement :
a) When it completes half of the circle.
b) When it completes one full circle.
Answer 1 :
a) Distance travelled when the object completes half of the circle : πr.
Displacement when the object competes half of the circle : Diameter = 2r.
b) Distance travelled when the object completes full circle : 2πr.
Displacement when the object completes full circle : 0 m.
Question 2 :
A body thrown vertically upwards reaches a maximum height h. It then returns to ground. Calculate the distance travelled and the displacement.
Answer 2 :
The body goes to a Height "h" and returns back on the ground.
Distance travelled by the body : 2h.
Displacement : 0 m.
Question 3 :
A body travels a distance of 15 m from A to B and then moves a distance of 20 m at right angled to AB. Calculate the total distance travelled and the displacement.
Answer 3 :
Distance travelled by the body = 15 + 20 = 35 m.
Displacement = √((15)² + (20)²) = √(225 + 400) = √625 = 25 m.
Question 4 :
A Particle is moving in a circle of diameter 5 m. Calculate the distance covered and the displacement when it complete 3 revolutions.
Answer 4 :
Diameter of the circle = 5 m.
Radius = 5/2 m.
Distance after 3 revolutions = 3*(2πr) = 6πr = 6*5/2*3.14 = 47.1 m.
Displacement after 3 revolutions = 0 m.
Question 5 :
In a long distance race, the athletes were expected to take four rounds of the track such that the line of finish was same as the line of start. Suppose the length of the track was 200 m a) What is the total distance to be covered by the athletes? b) What is the displacement of the athletes when they touch the finish line? c) Is the motion of the athletes uniform or non-uniform ? d) Is the displacement of an athlete and the distance moved by him at the end of the race equal?
Answer 5 :
Athletes had to take four rounds of the track.
The start line was same as end line.
The length of the track is 200 m.
a) Total Distance that had to be covered by the athletes = 4*200 = 800 m.
b) The displacement of the athletes when the touch the finish line is 0 m.
c) It will be non-uniform motion, as the speed will not be constant.
d) No, Displacement will be 0 m whereas the Distance will be 800 m.
Answer:
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