Motin in One Dimension

7/30/2019 Motin in One Dimension

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MOTION IN ONE DIMENSION

1. A car is moving on a straight road with a constant acceleration directed along the direction

of instantaneous velocity, if initial velocity of the car is zero then which of the following

statement is/are correct.

a. Velocity of the particle follows a relation v = kt , where k is a constant

b. position of the particle follows a relation x = k`t 2 where k` is an another constant

c . Relation between k and k` is k` = k/2

d. the v-t graph shows a constant slope with elapse of time

2. Which of the following graph represents a physically possible situation?

a. b. c. d.

3. A particle inside a unknown field following a relation a = bv , where a is acceleration and b

is a constant . Then choose the correct statement.

a. v of the particle is directly proportional to t

b. v of the particle is exponentially proportional to t

c. acceleration of the particle is exponentially proportional to time

d. x-t graph shows an exponential curve .

4. For an oscillator displacement of an oscillating object is given by x = sint , then which of the

following statement is/are correct ?

a. the a-t graph for this type of motion is

b. the a-t graph for this type motion is


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c. slope of the a-t graph at any instant is defined by - 3cos(t)

d. the dimension of is similar of angular momentum

5. A body a is at rest at x = 0 and t = 0 starts its motion with constant acceleration towards x

direction another body b moving with a constant speed along the same direction. If we express

x a and x b as position of body a & b and v a & v b as velocity of the body a & b. Then which of the

following statement is/are correct (the initial distance between a and b is x)

a. the graph between ( x b - xa ) and t is given by

b. T in the above fig. is expressed by 2u/a

c. relative velocity v ab is given by v ab = kt c ,where k = constant, c is an another constant

d. relative acceleration a ab = k where k is a constant

6. A body moving along a straight path follows a relation s = a(t 4) + b(t 4 ) 2 , then which of the following statement is/are correct

a. a and b related to each other as a = bt

b. particle is at origin when t = 4

c. a is independent of b

d. velocity at the origin is a + 4b

7. If acceleration of two particle moving along the same direction follows a relation of a r = rt

and a p = pt resp. The distance between them is s at t = 0 , then which of the following

statement is/are correct

a. relative acceleration of a with respect to b is given by A = (r p )t

b. relative acceleration between the particle is constant

c. relative position of the particle is proportional to the cube of time


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d. relative velocity between a and b is given by v = ( r p )t 2

8. A particle moving along x direction fol lows a relation similar of x t n ,then which of the

following statement about the particle is/are correct

a. x-t graph shows a parabola when n=2

b. a-t graph shows a parabola when n=2

c. v-t graph shows a straight line [parallel to t axis] , when n=1

d. v-t graph shows a parabola when n=3

9. Consider a v- t graph as shown in the figure

Then which of the following statement is/are correct

a. particle is at rest between interval of tu , vw and xy

b. particle feels a jerk at v and x

c. {a} between uv ,wx and yz is non zero

d. average velocity of the particle is towards positive x direction

10. If v 2 and a shows a graph similar of the given figure then which of the followingstatement

is/are correct v = velocity, a = acceleration

a. particle is changing its position with time

b. initial velocity of the particle is zero


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c. velocity of the particle is variable

d. distance covered by the particle is constant

11. Select the correct statement for a particle going on a straight line

a. if the acceleration and velocity are in opposite direction, then the particle is slowing down

b. if the position and velocity are in opposite direction ,the particle is moving towards origin

c. if the velocity is zero for a time interval, the acceleration is zero at any moment within that interval

d. if the velocity is zero at any instant then acceleration must be zero at that instant

12. An object performing any kind of motion may not have

a. non zero acceleration but constant speed

b. variable velocity but constant speed

c. non-zero acceleration but constant velocity

d. variable speed but constant velocity

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Motin in One Dimension