Each of the six graphs represents a different one dimensional motion. Describe w

Question

Each of the six graphs represents a different one dimensional motion. Describe whether the object is moving in the positive or negative direction, whether is speeding up, slowing down or whether it moves at constant speed, and the sign of the acceleration. a. Which object(s) end up at their initial position? b. Which object(s) spend at least some time moving in the negative x-direction? c. Which object(s) are gradually speeding up during the entire time? d. Which object(s) are gradually slowing down during at least part of the time? e. Which object(s) are farthest away from the center of the desk in the end? f. Which object(s) kept moving in the same direction the whole timer? g. Which object(s) stood still at some time during the period shown?

Explanation / Answer

a) Objects ending up at the same position -

This can be calculated by summing the positve and negative area by the graph, if the sum is 0 then displacment is 0

1. B - Because constant velocity upto 4s and constant velocity in reverse direction in next 4 seconds

2. E - Because body is in constant rest

3. F - Decreasing velocity upto 4 seconds, and increasing velocity in reverse direction upto 4 seconds.

b) Which objects spend some time in negative direction

Whereever we can see -ve Velocity points on the graph

1. B

2.C

3. F

3) Objects gradually speeding up

here increasing velocity against time,

1. A

4)Objects gradually slowing down up

here decreasing velocity against time,

1. F

5) Farthest of the desk till end

F - Because the area of the graph is th displacement = -1/2 x8 x v = 4v

For all other cases it is lesser than 4v .

6) Objects moving in same direction

A F D, as all points on graph are either fully positive or fully neative.

7) Objects remaining still

E - body in rest

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