1D-2

1- A particle moves from A to B, without changi ng direction wi th constant spe ed v 1 and then moves fr om B to A w ith consta nt sped v 2 without changing direction. In this total motion, what is average speed? 2- Let x(t) be the positi on 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 wh at ti me t, th e pa rt ic le crosses th e or ig in ? (ii) fi nd the di splacement in first second of motion. (ii i) find average veloc ity in time int erv al t = 1 to t = 3 sec ond s. 3- Let x(t) be the positi on coordin ate 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 ti me ( or t imes ) the part icle wi ll be seen at the ori gi n ? (ii) at wha t time the par ticle will reach at same pos ition where i t was at time t =0? (ii i) at wha t t ime ( o r times) the parti cle wi ll be seen at x =4 m ? (i v) if at t wo in stants of ti me t =t 1 and t = t 2 , the particle is found at same position then what could be the possible relation between t 1 and t 2 . ? 4- Let x(t) be the posit ion coordina te of a particle moving on a line , at time t . For few 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 – t 2 (viii) x (t) = 10 t 3 (ix) x (t) = 2 /( t + 5) From above details of motion, s elect the situa tions 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 pa rticles A , B an d C moving uniformly on the x- axis. Some features of th e motions of A, B and C are described. Using these, form the expression of x (t) for each particle: A : i nitially i.e, a t time t =0, x = - 20 m and v elocity is 4 ms -1 in positive x- direction B: 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 respective ly. The particle A can move with uniform speed 6 ms -1 and B can move with uniform speed 4 ms -1 . If both A a nd B sta rted to move from time t =0, when and where A and B will meet in followin g conditions: (i) both A and B moves in positive x –direc ti on (ii ) A mov es in pos iti ve x –di rec tio n but B moves in neg ati ve x – dir ect ion . 7- The position (x) – time (t) graph fro the particles P and Q are shown in the fig. (i) Which of P and Q is at rest ? (ii) Which of P and Q is moving unif or mly ? (iii) Who i s nearest to the origin initiall y? 1 /1D-2/ PHYSICS / 11+ AIEEE/AIPMT/JEE-FOUNDATION/

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7/30/2019 1D-2

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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/