English
Karnataka Board PUCPUC Science Class 11

A Particle Starts from the Origin, Goes Along the X-axis to Point (20 M, 0) and Then Return Along the Same Line to Point (−20 M, 0). Find the Distance and Displacement of the Particle During the Trip. - Physics

Advertisements
Advertisements

Question

A particle starts from the origin, goes along the X-axis to the point (20 m, 0) and then return along the same line to the point (−20 m, 0). Find the distance and displacement of the particle during the trip.

 
Short Note

Solution

Let the points be O(0,0), A(20 m, 0) and B(−20 m, 0).
(i) Distance travelled = OA + AB = 20 + 40 = 60 m
(ii) Displacement = OB = 20 m (in the negative direction)

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Rest and Motion: Kinematics - Exercise [Page 51]

APPEARS IN

HC Verma Concepts of Physics Vol. 1 [English] Class 11 and 12
Chapter 3 Rest and Motion: Kinematics
Exercise | Q 2 | Page 51

RELATED QUESTIONS

The position-time (x-t) graphs for two children A and B returning from their school O to their homes P and Q respectively, are shown in the figure. Choose the correct entries in the brackets below;

  1. (A/B) lives closer to the school than (B/A)
  2. (A/B) starts from the school earlier than (B/A)
  3. (A/B) walks faster than (B/A)
  4. A and B reach home at the (same/different) time
  5. (A/B) overtakes (B/A) on the road (once/twice).

The figure shows the x-t plot of one-dimensional motion of a particle. Is it correct to say from the graph that the particle moves in a straight line for t < 0 and on a parabolic path for t > 0? If not, suggest a suitable physical context for this graph.


A police van moving on a highway with a speed of 30 km h–1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 192 km h–1. If the muzzle speed of the bullet is 150 m s–1, with what speed does the bullet hit the thief’s car? (Note: Obtain that speed which is relevant for damaging the thief’s car).


Suggest a suitable physical situation for the following graphs: 


Two projectiles A and B are projected with angle of projection 15° for the projectile A and 45° for the projectile B. If RA and RB be the horizontal range for the two projectiles, then


A man has to go 50 m due north, 40 m due east and 20 m due south to reach a field. (a) What distance he has to walk to reach the field? (b) What is his displacement from his house to the field? 


In the following figure Shows the graph of velocity versus time for a particle going along the X-axis. Find the acceleration


In the following figure Shows the graph of velocity versus time for a particle going along the X-axis. Find the distance travelled in 0 to 10s


In the following figure Shows the graph of velocity versus time for a particle going along the X-axis. Find the displacement in 0 to 10 s.


Refer to the graphs in figure. Match the following.

Graph Characteristic
(a)  (i) has v > 0 and a < 0 throughout.
(b)  (ii) has x > 0 throughout and has a point with v = 0 and a point with a = 0.
(c)   (iii) has a point with zero displacement for t > 0.
(d) (iv) has v < 0 and a > 0.

A ball is dropped and its displacement vs time graph is as shown figure (displacement x is from ground and all quantities are +ve upwards).

  1. Plot qualitatively velocity vs time graph.
  2. Plot qualitatively acceleration vs time graph.

A man runs across the roof-top of a tall building and jumps horizontally with the hope of landing on the roof of the next building which is of a lower height than the first. If his speed is 9 m/s, the (horizontal) distance between the two buildings is 10 m and the height difference is 9 m, will he be able to land on the next building? (take g = 10 m/s2)


The velocity-displacement graph of a particle is shown in figure.

  1. Write the relation between v and x.
  2. Obtain the relation between acceleration and displacement and plot it.

Ship A is sailing towards the northeast with velocity `vecv = 30hati + 50hatj` km/hr where `hati` points east and `hatj`, north. Ship B is at a distance of 80 km east and 150 km north of Ship A and is sailing west at 10 km/hr. A will be at the minimum distance from B in ______.


A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be: (Given cos135° = - 0.7)


A car covers the first half of the distance between two places at 40 km/h and other half at 60 km/h. The average speed of the car is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×