7/30/2019 1D-2

http://slidepdf.com/reader/full/1d-2 1/2

1- A particle moves from A to B, without changing direction with constant speed v1

and then moves from B to A with constant sped v2 without changing direction. Inthis total motion, what is average speed?

2- Let x(t) be the position coordinate of a particle moving on a line , at time t.If x(t) = -24 + 8 t + 2 t 2 , where x (t) is in meters and t is in seconds, then

(i) at what time t, the particle crosses the origin ?(ii) find the displacement in first second of motion.(iii) find average velocity in time interval t = 1 to t = 3 seconds.

3- Let x(t) be the position coordinate of a particle moving on a line , at time t.If x(t) = -24 + 8 t - t 2 , where x (t) is in meters and t is in seconds, then

(i) at what time ( or times ) the particle will be seen at the origin ?(ii) at what time the particle will reach at same position where it was at time t

=0?(iii) at what time ( or times) the particle will be seen at x =4 m ?(iv) if at two instants of time t =t1 and t = t2 , the particle is found at same

position then what could be the possible relation between t1 and t2 . ?

4- Let x(t) be the position coordinate of a particle moving on a line , at time t . Forfew particles the expression of x (t) is given as following:

(i) x (t) = 5 + 10 t (ii) x (t) = - 5 + 6 t (iii) x (t) = 8 t(iv) x (t) = 5 - 10 t(v) x (t) = - 10 t (vi) x (t) = 5 (vii) x (t) = 5 + 10 t – t2

(viii) x (t) = 10 t3 (ix) x (t) = 2 /( t + 5)

From above details of motion, select the situations where there is(a) uniform motion (b) non uniform motion (c) rest condition (d) initial position is

coinciding with origin

5- Let there be three particles A , B and C moving uniformly on the x- axis. Somefeatures of the motions of A, B and C are described. Using these, form theexpression of x (t) for each particle:

A : initially i.e, at time t =0, x = -20 m and velocity is 4 ms-1 in positive x- directionB: initially i.e at t =0, x = 10 m and velocity is 2 ms-1 in negative direction.C: at times t = 1s, x = 6 m, and at time t = 3 s, x = 16 m.

6- Two particles A and B are situated initially at x = -30 and x =20 m respectively. The particle A can move with uniform speed 6 ms-1 and B can move with uniformspeed 4 ms-1 . If both A and B started to move from time t =0, when and where Aand B will meet in following conditions:

(i) both A and B moves in positive x –direction(ii) A moves in positive x –direction but B moves in negative x – direction.

7- The position (x) – time (t) graph fro the particles P and Qare shown in the fig.

(i) Which of P and Q is at rest ?(ii) Which of P and Q is moving uniformly ?(iii) Who is nearest to the origin initially?

1 /1D-2/ PHYSICS / 11+ AIEEE/AIPMT/JEE-FOUNDATION/

7/30/2019 1D-2

http://slidepdf.com/reader/full/1d-2 2/2

(iv) What is the velocity of P ?(v) Write down the expression of x (t) for P?(vi) What is the separation between P and Q at time

t= 3 ?

8- Draw the x(t) – t graph for the motions described by Q 4 (i), 4(iii) , 4 (iv) and 4

(v).

2 /1D-2/ PHYSICS / 11+ AIEEE/AIPMT/JEE-FOUNDATION/